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5642291952 = 2433112107941
BaseRepresentation
bin1010100000100111…
…01000101011110000
3112120012222010111000
411100103220223300
543023411320302
62331513522000
7256551455523
oct52023505360
915505863430
105642291952
112435a21500
121115713300
136bbc442bb
143b74d6bba
1523052a31c
hex1504e8af0

5642291952 has 120 divisors (see below), whose sum is σ = 17801794640. Its totient is φ = 1709769600.

The previous prime is 5642291951. The next prime is 5642291969. The reversal of 5642291952 is 2591922465.

5642291952 is a `hidden beast` number, since 56 + 422 + 91 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5642291898 and 5642291907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642291951) 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, 1699 + ... + 106242.

Almost surely, 25642291952 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 5642291952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900897320).

5642291952 is an abundant number, since it is smaller than the sum of its proper divisors (12159502688).

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

5642291952 is a wasteful number, since it uses less digits than its factorization.

5642291952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107980 (or 107957 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 5642291952 is about 75115.1912198857. The cubic root of 5642291952 is about 1780.2671769971.

The spelling of 5642291952 in words is "five billion, six hundred forty-two million, two hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1452 1584 1936 2178 2376 2904 3267 4356 4752 5808 6534 8712 13068 17424 26136 52272 107941 215882 323823 431764 647646 863528 971469 1187351 1295292 1727056 1942938 2374702 2590584 2914407 3562053 3885876 4749404 5181168 5828814 7124106 7771752 9498808 10686159 11657628 13060861 14248212 15543504 18997616 21372318 23315256 26121722 28496424 32058477 39182583 42744636 46630512 52243444 56992848 64116954 78365166 85489272 104486888 117547749 128233908 156730332 170978544 208973776 235095498 256467816 313460664 352643247 470190996 512935632 626921328 705286494 940381992 1410572988 1880763984 2821145976 5642291952