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55988010 = 2345132409
BaseRepresentation
bin1101010110010…
…0111100101010
310220100111010000
43111210330222
5103313104020
65320003430
71246614231
oct325447452
9126314100
1055988010
1129670691
1216900576
13b7a3b00
147615b18
154dae090
hex3564f2a

55988010 has 120 divisors (see below), whose sum is σ = 163415340. Its totient is φ = 13747968.

The previous prime is 55987979. The next prime is 55988017. The reversal of 55988010 is 1088955.

It can be written as a sum of positive squares in 6 ways, for example, as 16184529 + 39803481 = 4023^2 + 6309^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55988017) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 136686 + ... + 137094.

Almost surely, 255988010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55988010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81707670).

55988010 is an abundant number, since it is smaller than the sum of its proper divisors (107427330).

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

55988010 is a wasteful number, since it uses less digits than its factorization.

55988010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 55988010 is about 7482.5136150895. The cubic root of 55988010 is about 382.5589297902.

The spelling of 55988010 in words is "fifty-five million, nine hundred eighty-eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 169 195 234 270 338 351 390 405 409 507 585 702 810 818 845 1014 1053 1170 1227 1521 1690 1755 2045 2106 2454 2535 3042 3510 3681 4090 4563 5070 5265 5317 6135 7362 7605 9126 10530 10634 11043 12270 13689 15210 15951 18405 22086 22815 26585 27378 31902 33129 36810 45630 47853 53170 55215 66258 68445 69121 79755 95706 110430 136890 138242 143559 159510 165645 207363 239265 287118 331290 345605 414726 430677 478530 622089 691210 717795 861354 1036815 1244178 1435590 1866267 2073630 2153385 3110445 3732534 4306770 5598801 6220890 9331335 11197602 18662670 27994005 55988010