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52813904 = 24111341563
BaseRepresentation
bin1100100101111…
…0000001010000
310200101020001112
43021132001100
5102010021104
65123552452
71210624253
oct311360120
9120336045
1052813904
11278a2960
121582b728
13ac32140
14702b09a
15498386e
hex325e050

52813904 has 80 divisors (see below), whose sum is σ = 123367104. Its totient is φ = 21580800.

The previous prime is 52813903. The next prime is 52813919. The reversal of 52813904 is 40931825.

52813904 = T120 + T121 + ... + T682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52813903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93527 + ... + 94089.

Almost surely, 252813904 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 52813904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61683552).

52813904 is an abundant number, since it is smaller than the sum of its proper divisors (70553200).

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

52813904 is a wasteful number, since it uses less digits than its factorization.

52813904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 52813904 is about 7267.3175243689. The cubic root of 52813904 is about 375.1884184986.

The spelling of 52813904 in words is "fifty-two million, eight hundred thirteen thousand, nine hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 82 88 104 143 164 176 208 286 328 451 533 563 572 656 902 1066 1126 1144 1804 2132 2252 2288 3608 4264 4504 5863 6193 7216 7319 8528 9008 11726 12386 14638 23083 23452 24772 29276 46166 46904 49544 58552 80509 92332 93808 99088 117104 161018 184664 253913 300079 322036 369328 507826 600158 644072 1015652 1200316 1288144 2031304 2400632 3300869 4062608 4801264 6601738 13203476 26406952 52813904