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55903920 = 24351092137
BaseRepresentation
bin1101010101000…
…0011010110000
310220012012202120
43111100122300
5103302411140
65314114240
71246114122
oct325203260
9126165676
1055903920
1129613496
121687b980
13b774757
1475d3212
154d941d0
hex35506b0

55903920 has 80 divisors (see below), whose sum is σ = 174973920. Its totient is φ = 14764032.

The previous prime is 55903907. The next prime is 55903927. The reversal of 55903920 is 2930955.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (55903927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25092 + ... + 27228.

It is an arithmetic number, because the mean of its divisors is an integer number (2187174).

Almost surely, 255903920 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 55903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87486960).

55903920 is an abundant number, since it is smaller than the sum of its proper divisors (119070000).

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

55903920 is a wasteful number, since it uses less digits than its factorization.

55903920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 55903920 is about 7476.8924025961. The cubic root of 55903920 is about 382.3673084101.

The spelling of 55903920 in words is "fifty-five million, nine hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1635 1744 2137 2180 2616 3270 4274 4360 5232 6411 6540 8548 8720 10685 12822 13080 17096 21370 25644 26160 32055 34192 42740 51288 64110 85480 102576 128220 170960 232933 256440 465866 512880 698799 931732 1164665 1397598 1863464 2329330 2795196 3493995 3726928 4658660 5590392 6987990 9317320 11180784 13975980 18634640 27951960 55903920