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55328460 = 22351127621
BaseRepresentation
bin1101001100001…
…1111011001100
310212002222101020
43103003323030
5103131002320
65253514140
71241166315
oct323037314
9125088336
1055328460
1129260100
1216642950
13b602845
1474c360c
154ccd940
hex34c3ecc

55328460 has 72 divisors (see below), whose sum is σ = 170305968. Its totient is φ = 13411200.

The previous prime is 55328443. The next prime is 55328467. The reversal of 55328460 is 6482355.

It is a super-3 number, since 3×553284603 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (55328467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3450 + ... + 11070.

Almost surely, 255328460 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 55328460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85152984).

55328460 is an abundant number, since it is smaller than the sum of its proper divisors (114977508).

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

55328460 is a wasteful number, since it uses less digits than its factorization.

55328460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7642 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 55328460 is about 7438.3102919951. The cubic root of 55328460 is about 381.0507851097.

The spelling of 55328460 in words is "fifty-five million, three hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 7621 15242 22863 30484 38105 45726 76210 83831 91452 114315 152420 167662 228630 251493 335324 419155 457260 502986 838310 922141 1005972 1257465 1676620 1844282 2514930 2766423 3688564 4610705 5029860 5532846 9221410 11065692 13832115 18442820 27664230 55328460