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55908480 = 273537787
BaseRepresentation
bin1101010101000…
…1100010000000
310220012110000110
43111101202000
5103303032410
65314151320
71246133325
oct325214200
9126173013
1055908480
1129616961
1216882540
13b776854
1475d4b4c
154d95720
hex3551880

55908480 has 128 divisors (see below), whose sum is σ = 183257280. Its totient is φ = 14487552.

The previous prime is 55908421. The next prime is 55908499. The reversal of 55908480 is 8480955.

It is a tau number, because it is divible by the number of its divisors (128).

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, 70647 + ... + 71433.

Almost surely, 255908480 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 55908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91628640).

55908480 is an abundant number, since it is smaller than the sum of its proper divisors (127348800).

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

55908480 is a wasteful number, since it uses less digits than its factorization.

55908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 55908480 is about 7477.1973359007. The cubic root of 55908480 is about 382.3777045059.

The spelling of 55908480 in words is "fifty-five million, nine hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 740 787 888 960 1110 1184 1480 1574 1776 1920 2220 2361 2368 2960 3148 3552 3935 4440 4722 4736 5920 6296 7104 7870 8880 9444 11805 11840 12592 14208 15740 17760 18888 23610 23680 25184 29119 31480 35520 37776 47220 50368 58238 62960 71040 75552 87357 94440 100736 116476 125920 145595 151104 174714 188880 232952 251840 291190 302208 349428 377760 436785 465904 503680 582380 698856 755520 873570 931808 1164760 1397712 1511040 1747140 1863616 2329520 2795424 3494280 3727232 4659040 5590848 6988560 9318080 11181696 13977120 18636160 27954240 55908480