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54955488 = 2537531543
BaseRepresentation
bin1101000110100…
…0110111100000
310211102000202110
43101220313200
5103032033423
65241515320
71235054040
oct321506740
9124360673
1054955488
1129025965
12164a2b40
13b501b53
147427720
154c58193
hex3468de0

54955488 has 96 divisors (see below), whose sum is σ = 168086016. Its totient is φ = 15395328.

The previous prime is 54955469. The next prime is 54955499. The reversal of 54955488 is 88455945.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×549554882 = 6040211322636288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 34845 + ... + 36387.

It is an arithmetic number, because the mean of its divisors is an integer number (1750896).

Almost surely, 254955488 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 54955488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84043008).

54955488 is an abundant number, since it is smaller than the sum of its proper divisors (113130528).

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

54955488 is a wasteful number, since it uses less digits than its factorization.

54955488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1608 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 48.

The square root of 54955488 is about 7413.1968812382. The cubic root of 54955488 is about 380.1926262541.

The spelling of 54955488 in words is "fifty-four million, nine hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1543 1696 2226 2544 2968 3086 4452 4629 5088 5936 6172 8904 9258 10801 11872 12344 17808 18516 21602 24688 32403 35616 37032 43204 49376 64806 74064 81779 86408 129612 148128 163558 172816 245337 259224 327116 345632 490674 518448 572453 654232 981348 1036896 1144906 1308464 1717359 1962696 2289812 2616928 3434718 3925392 4579624 6869436 7850784 9159248 13738872 18318496 27477744 54955488