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4531011048 = 23355474261
BaseRepresentation
bin1000011100001000…
…11011110111101000
3102200202220012200000
410032010123313220
533234414323143
62025335143000
7220165646514
oct41604336750
912622805600
104531011048
111a15701733
12a65514a60
13572943a35
1430da9d144
151b7bb6bd3
hex10e11bde8

4531011048 has 96 divisors (see below), whose sum is σ = 12752244960. Its totient is φ = 1507222080.

The previous prime is 4531011041. The next prime is 4531011049. The reversal of 4531011048 is 8401101354.

It is a happy number.

4531011048 is a `hidden beast` number, since 453 + 101 + 104 + 8 = 666.

It is a super-2 number, since 2×45310110482 = 41060122234196116608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4531011041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1061238 + ... + 1065498.

It is an arithmetic number, because the mean of its divisors is an integer number (132835885).

Almost surely, 24531011048 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 4531011048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376122480).

4531011048 is an abundant number, since it is smaller than the sum of its proper divisors (8221233912).

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

4531011048 is a wasteful number, since it uses less digits than its factorization.

4531011048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4531011048 is about 67312.7851748834. The cubic root of 4531011048 is about 1654.7473987048.

The spelling of 4531011048 in words is "four billion, five hundred thirty-one million, eleven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 547 648 972 1094 1641 1944 2188 3282 4261 4376 4923 6564 8522 9846 12783 13128 14769 17044 19692 25566 29538 34088 38349 39384 44307 51132 59076 76698 88614 102264 115047 118152 132921 153396 177228 230094 265842 306792 345141 354456 460188 531684 690282 920376 1035423 1063368 1380564 2070846 2330767 2761128 4141692 4661534 6992301 8283384 9323068 13984602 18646136 20976903 27969204 41953806 55938408 62930709 83907612 125861418 167815224 188792127 251722836 377584254 503445672 566376381 755168508 1132752762 1510337016 2265505524 4531011048