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535501472 = 251121929251
BaseRepresentation
bin11111111010110…
…001101010100000
31101022122021220212
4133322301222200
52044042021342
6125045353252
716161454532
oct3772615240
91338567825
10535501472
11255305200
1212b408828
1386c3519c
1451197852
153202c182
hex1feb1aa0

535501472 has 144 divisors (see below), whose sum is σ = 1266904800. Its totient is φ = 221760000.

The previous prime is 535501397. The next prime is 535501487. The reversal of 535501472 is 274105535.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2133347 + ... + 2133597.

It is an arithmetic number, because the mean of its divisors is an integer number (8797950).

Almost surely, 2535501472 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 535501472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633452400).

535501472 is an abundant number, since it is smaller than the sum of its proper divisors (731403328).

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

535501472 is a wasteful number, since it uses less digits than its factorization.

535501472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 535501472 is about 23140.9047359864. The cubic root of 535501472 is about 812.0577017405.

The spelling of 535501472 in words is "five hundred thirty-five million, five hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 76 88 116 121 152 176 209 232 242 251 304 319 352 418 464 484 502 551 608 638 836 928 968 1004 1102 1276 1672 1936 2008 2204 2299 2552 2761 3344 3509 3872 4016 4408 4598 4769 5104 5522 6061 6688 7018 7279 8032 8816 9196 9538 10208 11044 12122 14036 14558 17632 18392 19076 22088 24244 28072 29116 30371 36784 38152 44176 48488 52459 56144 58232 60742 66671 73568 76304 80069 88352 96976 104918 112288 116464 121484 133342 138301 152608 160138 193952 209836 232928 242968 266684 276602 320276 419672 485936 533368 553204 577049 640552 839344 880759 971872 1066736 1106408 1154098 1281104 1521311 1678688 1761518 2133472 2212816 2308196 2562208 3042622 3523036 4425632 4616392 6085244 7046072 9232784 12170488 14092144 16734421 18465568 24340976 28184288 33468842 48681952 66937684 133875368 267750736 535501472