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55456704 = 263367479
BaseRepresentation
bin1101001110001…
…1001111000000
310212100111022000
43103203033000
5103144103304
65300344000
71242242232
oct323431700
9125314260
1055456704
1129338496
12166a5000
13b649024
147518252
154d06939
hex34e33c0

55456704 has 112 divisors (see below), whose sum is σ = 165811200. Its totient is φ = 18171648.

The previous prime is 55456633. The next prime is 55456711. The reversal of 55456704 is 40765455.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115537 + ... + 116015.

Almost surely, 255456704 is an apocalyptic number.

55456704 is a gapful number since it is divisible by the number (54) 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 55456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82905600).

55456704 is an abundant number, since it is smaller than the sum of its proper divisors (110354496).

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

55456704 is a wasteful number, since it uses less digits than its factorization.

55456704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 55456704 is about 7446.9258086811. The cubic root of 55456704 is about 381.3449662558.

The spelling of 55456704 in words is "fifty-five million, four hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 192 201 216 268 288 402 432 479 536 576 603 804 864 958 1072 1206 1437 1608 1728 1809 1916 2144 2412 2874 3216 3618 3832 4288 4311 4824 5748 6432 7236 7664 8622 9648 11496 12864 12933 14472 15328 17244 19296 22992 25866 28944 30656 32093 34488 38592 45984 51732 57888 64186 68976 91968 96279 103464 115776 128372 137952 192558 206928 256744 275904 288837 385116 413856 513488 577674 770232 827712 866511 1026976 1155348 1540464 1733022 2053952 2310696 3080928 3466044 4621392 6161856 6932088 9242784 13864176 18485568 27728352 55456704