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42520104 = 233211371451
BaseRepresentation
bin1010001000110…
…0111000101000
32222000020121200
42202030320220
541341120404
64115204200
71024262214
oct242147050
988006550
1042520104
1122001a90
12122a6660
138a69933
14590b944
153aed839
hex288ce28

42520104 has 96 divisors (see below), whose sum is σ = 129111840. Its totient is φ = 12528000.

The previous prime is 42520097. The next prime is 42520117. The reversal of 42520104 is 40102524.

42520104 is a `hidden beast` number, since 42 + 520 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 28579 + ... + 30029.

It is an arithmetic number, because the mean of its divisors is an integer number (1344915).

Almost surely, 242520104 is an apocalyptic number.

42520104 is a gapful number since it is divisible by the number (44) 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 42520104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64555920).

42520104 is an abundant number, since it is smaller than the sum of its proper divisors (86591736).

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

42520104 is a wasteful number, since it uses less digits than its factorization.

42520104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42520104 is about 6520.7441293153. The cubic root of 42520104 is about 349.0316197545.

Adding to 42520104 its reverse (40102524), we get a palindrome (82622628).

It can be divided in two parts, 42520 and 104, that added together give a palindrome (42624).

The spelling of 42520104 in words is "forty-two million, five hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 792 814 888 1221 1332 1451 1628 2442 2664 2902 3256 3663 4353 4884 5804 7326 8706 9768 11608 13059 14652 15961 17412 26118 29304 31922 34824 47883 52236 53687 63844 95766 104472 107374 127688 143649 161061 191532 214748 287298 322122 383064 429496 483183 574596 590557 644244 966366 1149192 1181114 1288488 1771671 1932732 2362228 3543342 3865464 4724456 5315013 7086684 10630026 14173368 21260052 42520104