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503755968 = 26317198123
BaseRepresentation
bin11110000001101…
…011010011000000
31022002220110021110
4132001223103000
52012430142333
6121553123320
715324566202
oct3601532300
91262813243
10503755968
112393a2351
12120859540
138049b871
144ac92772
152e35b063
hex1e06b4c0

503755968 has 112 divisors (see below), whose sum is σ = 1485717120. Its totient is φ = 149704704.

The previous prime is 503755961. The next prime is 503755981. The reversal of 503755968 is 869557305.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503755961) 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, 57955 + ... + 66077.

Almost surely, 2503755968 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 503755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742858560).

503755968 is an abundant number, since it is smaller than the sum of its proper divisors (981961152).

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

503755968 is a wasteful number, since it uses less digits than its factorization.

503755968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174 (or 8164 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The square root of 503755968 is about 22444.5086379720. The cubic root of 503755968 is about 795.6829794034.

The spelling of 503755968 in words is "five hundred three million, seven hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 136 152 192 204 228 272 304 323 408 456 544 608 646 816 912 969 1088 1216 1292 1632 1824 1938 2584 3264 3648 3876 5168 7752 8123 10336 15504 16246 20672 24369 31008 32492 48738 62016 64984 97476 129968 138091 154337 194952 259936 276182 308674 389904 414273 463011 519872 552364 617348 779808 828546 926022 1104728 1234696 1559616 1657092 1852044 2209456 2469392 2623729 3314184 3704088 4418912 4938784 5247458 6628368 7408176 7871187 8837824 9877568 10494916 13256736 14816352 15742374 20989832 26513472 29632704 31484748 41979664 62969496 83959328 125938992 167918656 251877984 503755968