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55629456 = 24323411229
BaseRepresentation
bin1101010000110…
…1011010010000
310212200021021020
43110031122100
5103220120311
65304155440
71243562001
oct324153220
9125607236
1055629456
1129446263
1216768b80
13b6a984c
1475611a8
154d3cc06
hex350d690

55629456 has 80 divisors (see below), whose sum is σ = 153740160. Its totient is φ = 17290240.

The previous prime is 55629437. The next prime is 55629461. The reversal of 55629456 is 65492655.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44650 + ... + 45878.

It is an arithmetic number, because the mean of its divisors is an integer number (1921752).

Almost surely, 255629456 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 55629456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76870080).

55629456 is an abundant number, since it is smaller than the sum of its proper divisors (98110704).

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

55629456 is a wasteful number, since it uses less digits than its factorization.

55629456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 55629456 is about 7458.5156700244. The cubic root of 55629456 is about 381.7405290032.

The spelling of 55629456 in words is "fifty-five million, six hundred twenty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 552 656 943 984 1104 1229 1886 1968 2458 2829 3687 3772 4916 5658 7374 7544 9832 11316 14748 15088 19664 22632 28267 29496 45264 50389 56534 58992 84801 100778 113068 151167 169602 201556 226136 302334 339204 403112 452272 604668 678408 806224 1158947 1209336 1356816 2317894 2418672 3476841 4635788 6953682 9271576 13907364 18543152 27814728 55629456