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55609008 = 24371329439
BaseRepresentation
bin1101010000100…
…0011010110000
310212122020012220
43110020122300
5103213442013
65303521040
71243445250
oct324103260
9125566186
1055609008
1129431964
1216759180
13b6a0450
147557960
154d36b23
hex35086b0

55609008 has 160 divisors (see below), whose sum is σ = 183321600. Its totient is φ = 14128128.

The previous prime is 55608967. The next prime is 55609027. The reversal of 55609008 is 80090655.

It is a self number, because there is not a number n which added to its sum of digits gives 55609008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126453 + ... + 126891.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 255609008 is an apocalyptic number.

55609008 is a gapful number since it is divisible by the number (58) 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 55609008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91660800).

55609008 is an abundant number, since it is smaller than the sum of its proper divisors (127712592).

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

55609008 is a wasteful number, since it uses less digits than its factorization.

55609008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 55609008 is about 7457.1447619045. The cubic root of 55609008 is about 381.6937505067.

The spelling of 55609008 in words is "fifty-five million, six hundred nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 52 56 58 78 84 87 91 104 112 116 156 168 174 182 203 208 232 273 312 336 348 364 377 406 439 464 546 609 624 696 728 754 812 878 1092 1131 1218 1317 1392 1456 1508 1624 1756 2184 2262 2436 2634 2639 3016 3073 3248 3512 4368 4524 4872 5268 5278 5707 6032 6146 7024 7917 9048 9219 9744 10536 10556 11414 12292 12731 15834 17121 18096 18438 21072 21112 22828 24584 25462 31668 34242 36876 38193 39949 42224 45656 49168 50924 63336 68484 73752 76386 79898 89117 91312 101848 119847 126672 136968 147504 152772 159796 165503 178234 203696 239694 267351 273936 305544 319592 331006 356468 479388 496509 534702 611088 639184 662012 712936 958776 993018 1069404 1158521 1324024 1425872 1917552 1986036 2138808 2317042 2648048 3475563 3972072 4277616 4634084 6951126 7944144 9268168 13902252 18536336 27804504 55609008