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4556249088 = 21136112157
BaseRepresentation
bin1000011111001001…
…01101100000000000
3102202112101102202020
410033210231200000
533312344432323
62032040121440
7220623323016
oct41744554000
912675342666
104556249088
111a2897a416
12a71a66280
13577c3c3a1
1431318c8b6
151b9eeeae3
hex10f92d800

4556249088 has 96 divisors (see below), whose sum is σ = 12347178480. Its totient is φ = 1493729280.

The previous prime is 4556249063. The next prime is 4556249129. The reversal of 4556249088 is 8809426554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4556249088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368706 + ... + 380862.

Almost surely, 24556249088 is an apocalyptic number.

4556249088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4556249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173589240).

4556249088 is an abundant number, since it is smaller than the sum of its proper divisors (7790929392).

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

4556249088 is a wasteful number, since it uses less digits than its factorization.

4556249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12243 (or 12223 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The square root of 4556249088 is about 67499.9932444441. The cubic root of 4556249088 is about 1657.8140637763.

The spelling of 4556249088 in words is "four billion, five hundred fifty-six million, two hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1464 1536 1952 2048 2928 3072 3904 5856 6144 7808 11712 12157 15616 23424 24314 31232 36471 46848 48628 62464 72942 93696 97256 124928 145884 187392 194512 291768 374784 389024 583536 741577 778048 1167072 1483154 1556096 2224731 2334144 2966308 3112192 4449462 4668288 5932616 6224384 8898924 9336576 11865232 12448768 17797848 18673152 23730464 24897536 35595696 37346304 47460928 71191392 74692608 94921856 142382784 189843712 284765568 379687424 569531136 759374848 1139062272 1518749696 2278124544 4556249088