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55763520 = 2635292003
BaseRepresentation
bin1101010010111…
…0001001000000
310212221002011120
43110232021000
5103233413040
65311112240
71244660601
oct324561100
9125832146
1055763520
1129527a5a
1216812680
13b725887
147597da8
154d677d0
hex352e240

55763520 has 112 divisors (see below), whose sum is σ = 183245760. Its totient is φ = 14350336.

The previous prime is 55763507. The next prime is 55763527. The reversal of 55763520 is 2536755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55763527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26839 + ... + 28841.

Almost surely, 255763520 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 55763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91622880).

55763520 is an abundant number, since it is smaller than the sum of its proper divisors (127482240).

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

55763520 is a wasteful number, since it uses less digits than its factorization.

55763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 55763520 is about 7467.4975728151. The cubic root of 55763520 is about 382.0469410440.

The spelling of 55763520 in words is "fifty-five million, seven hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2003 2320 2784 3480 4006 4640 5568 6009 6960 8012 9280 10015 12018 13920 16024 20030 24036 27840 30045 32048 40060 48072 58087 60090 64096 80120 96144 116174 120180 128192 160240 174261 192288 232348 240360 290435 320480 348522 384576 464696 480720 580870 640960 697044 871305 929392 961440 1161740 1394088 1742610 1858784 1922880 2323480 2788176 3485220 3717568 4646960 5576352 6970440 9293920 11152704 13940880 18587840 27881760 55763520