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55956720 = 24351072179
BaseRepresentation
bin1101010101110…
…1010011110000
310220021220012010
43111131103300
5103311103340
65315202520
71246424061
oct325352360
9126256163
1055956720
112964a126
12168a6440
13b7927b1
147608568
154da4b80
hex355d4f0

55956720 has 80 divisors (see below), whose sum is σ = 175167360. Its totient is φ = 14775552.

The previous prime is 55956713. The next prime is 55956731. The reversal of 55956720 is 2765955.

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

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, 24591 + ... + 26769.

It is an arithmetic number, because the mean of its divisors is an integer number (2189592).

Almost surely, 255956720 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 55956720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87583680).

55956720 is an abundant number, since it is smaller than the sum of its proper divisors (119210640).

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

55956720 is a wasteful number, since it uses less digits than its factorization.

55956720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 55956720 is about 7480.4224479638. The cubic root of 55956720 is about 382.4876496504.

The spelling of 55956720 in words is "fifty-five million, nine hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2179 2568 3210 4280 4358 5136 6420 6537 8560 8716 10895 12840 13074 17432 21790 25680 26148 32685 34864 43580 52296 65370 87160 104592 130740 174320 233153 261480 466306 522960 699459 932612 1165765 1398918 1865224 2331530 2797836 3497295 3730448 4663060 5595672 6994590 9326120 11191344 13989180 18652240 27978360 55956720