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55832976 = 243467643
BaseRepresentation
bin1101010011111…
…1000110010000
310220001121110000
43110333012100
5103243123401
65312410000
71245400233
oct324770620
9126047400
1055832976
1129575161
1216846900
13b74b384
1475b541a
154d7d186
hex353f190

55832976 has 100 divisors (see below), whose sum is σ = 164263792. Its totient is φ = 18304704.

The previous prime is 55832971. The next prime is 55832977. The reversal of 55832976 is 67923855.

It is a happy number.

55832976 is a `hidden beast` number, since 558 + 3 + 2 + 97 + 6 = 666.

55832976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55832971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86511 + ... + 87153.

Almost surely, 255832976 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 55832976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82131896).

55832976 is an abundant number, since it is smaller than the sum of its proper divisors (108430816).

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

55832976 is a wasteful number, since it uses less digits than its factorization.

55832976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 715 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 55832976 is about 7472.1466795025. The cubic root of 55832976 is about 382.2054941801.

The spelling of 55832976 in words is "fifty-five million, eight hundred thirty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 268 324 402 432 536 603 643 648 804 1072 1206 1286 1296 1608 1809 1929 2412 2572 3216 3618 3858 4824 5144 5427 5787 7236 7716 9648 10288 10854 11574 14472 15432 17361 21708 23148 28944 30864 34722 43081 43416 46296 52083 69444 86162 86832 92592 104166 129243 138888 172324 208332 258486 277776 344648 387729 416664 516972 689296 775458 833328 1033944 1163187 1550916 2067888 2326374 3101832 3489561 4652748 6203664 6979122 9305496 13958244 18610992 27916488 55832976