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55953920 = 295111987
BaseRepresentation
bin1101010101110…
…0101000000000
310220021202100102
43111130220000
5103311011140
65315141532
71246412651
oct325345000
9126252312
1055953920
1129648010
12168a48a8
13b791439
147607528
154da3e15
hex355ca00

55953920 has 80 divisors (see below), whose sum is σ = 146428128. Its totient is φ = 20336640.

The previous prime is 55953907. The next prime is 55953929. The reversal of 55953920 is 2935955.

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

It is not an unprimeable number, because it can be changed into a prime (55953929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27167 + ... + 29153.

Almost surely, 255953920 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 55953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73214064).

55953920 is an abundant number, since it is smaller than the sum of its proper divisors (90474208).

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

55953920 is a wasteful number, since it uses less digits than its factorization.

55953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 38.

The square root of 55953920 is about 7480.2352904170. The cubic root of 55953920 is about 382.4812698192.

The spelling of 55953920 in words is "fifty-five million, nine hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 1987 2560 2816 3520 3974 5632 7040 7948 9935 14080 15896 19870 21857 28160 31792 39740 43714 63584 79480 87428 109285 127168 158960 174856 218570 254336 317920 349712 437140 508672 635840 699424 874280 1017344 1271680 1398848 1748560 2543360 2797696 3497120 5086720 5595392 6994240 11190784 13988480 27976960 55953920