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55636480 = 295103211
BaseRepresentation
bin1101010000111…
…1001000000000
310212200121220101
43110033020000
5103220331410
65304252144
71243621324
oct324171000
9125617811
1055636480
1129450569
1216771054
13b6acac3
147563984
154d3ed3a
hex350f200

55636480 has 80 divisors (see below), whose sum is σ = 135330624. Its totient is φ = 21934080.

The previous prime is 55636459. The next prime is 55636487. The reversal of 55636480 is 8463655.

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 (55636487) 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, 263575 + ... + 263785.

Almost surely, 255636480 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 55636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67665312).

55636480 is an abundant number, since it is smaller than the sum of its proper divisors (79694144).

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

55636480 is a wasteful number, since it uses less digits than its factorization.

55636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 55636480 is about 7458.9865263318. The cubic root of 55636480 is about 381.7565950278.

The spelling of 55636480 in words is "fifty-five million, six hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 211 256 320 412 422 512 515 640 824 844 1030 1055 1280 1648 1688 2060 2110 2560 3296 3376 4120 4220 6592 6752 8240 8440 13184 13504 16480 16880 21733 26368 27008 32960 33760 43466 52736 54016 65920 67520 86932 108032 108665 131840 135040 173864 217330 263680 270080 347728 434660 540160 695456 869320 1390912 1738640 2781824 3477280 5563648 6954560 11127296 13909120 27818240 55636480