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4098944528 = 2471753151269
BaseRepresentation
bin1111010001010000…
…1110111000010000
3101120122212221211022
43310110032320100
531343312211103
61514422335012
7203401311410
oct36424167020
911518787738
104098944528
111813824768
1296488a468
13504285983
142ac54c640
1518ecbc138
hexf450ee10

4098944528 has 160 divisors (see below), whose sum is σ = 9892938240. Its totient is φ = 1605427200.

The previous prime is 4098944519. The next prime is 4098944587. The reversal of 4098944528 is 8254498904.

It is a happy number.

It is a Cunningham number, because it is equal to 640232-1.

It is a super-2 number, since 2×40989445282 = 33602692487242285568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 4098944528.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15237578 + ... + 15237846.

It is an arithmetic number, because the mean of its divisors is an integer number (61830864).

Almost surely, 24098944528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4098944528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946469120).

4098944528 is an abundant number, since it is smaller than the sum of its proper divisors (5793993712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4098944528 is a wasteful number, since it uses less digits than its factorization.

4098944528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The square root of 4098944528 is about 64022.9999921903. Note that the first 5 decimals coincide. The cubic root of 4098944528 is about 1600.3833102468.

The spelling of 4098944528 in words is "four billion, ninety-eight million, nine hundred forty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 53 56 68 106 112 119 136 151 212 238 269 272 302 371 424 476 538 604 742 848 901 952 1057 1076 1208 1484 1802 1883 1904 2114 2152 2416 2567 2968 3604 3766 4228 4304 4573 5134 5936 6307 7208 7532 8003 8456 9146 10268 12614 14257 14416 15064 16006 16912 17969 18292 20536 25228 28514 30128 32011 32012 35938 36584 40619 41072 50456 56021 57028 64022 64024 71876 73168 81238 99799 100912 112042 114056 128044 128048 136051 143752 162476 199598 224084 228112 242369 256088 272102 284333 287504 324952 399196 448168 484738 512176 544204 568666 649904 690523 798392 896336 952357 969476 1088408 1137332 1381046 1596784 1696583 1904714 1938952 2152807 2176816 2274664 2762092 3393166 3809428 3877904 4305614 4549328 4833661 5524184 6786332 7618856 8611228 9667322 11048368 13572664 15069649 15237712 17222456 19334644 27145328 30139298 34444912 36597719 38669288 60278596 73195438 77338576 120557192 146390876 241114384 256184033 292781752 512368066 585563504 1024736132 2049472264 4098944528