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55632480 = 2535115901
BaseRepresentation
bin1101010000111…
…0001001100000
310212200102102020
43110032021200
5103220214410
65304221440
71243603551
oct324161140
9125612366
1055632480
1129448562
121676a880
13b6ab037
147562328
154d3da70
hex350e260

55632480 has 48 divisors (see below), whose sum is σ = 175243824. Its totient is φ = 14835200.

The previous prime is 55632461. The next prime is 55632481. The reversal of 55632480 is 8423655.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55632481) 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, 57471 + ... + 58430.

It is an arithmetic number, because the mean of its divisors is an integer number (3650913).

Almost surely, 255632480 is an apocalyptic number.

It is an amenable number.

55632480 is an abundant number, since it is smaller than the sum of its proper divisors (119611344).

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

55632480 is a wasteful number, since it uses less digits than its factorization.

55632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115919 (or 115911 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 55632480 is about 7458.7183885705. The cubic root of 55632480 is about 381.7474459769.

The spelling of 55632480 in words is "fifty-five million, six hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 115901 231802 347703 463604 579505 695406 927208 1159010 1390812 1738515 1854416 2318020 2781624 3477030 3708832 4636040 5563248 6954060 9272080 11126496 13908120 18544160 27816240 55632480