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55242900 = 22325261381
BaseRepresentation
bin1101001010111…
…1000010010100
310211221122000100
43102233002110
5103120233100
65252014100
71240362006
oct322570224
9124848010
1055242900
1129201899
1216601330
13b5a290b
1474a0376
154cb3400
hex34af094

55242900 has 54 divisors (see below), whose sum is σ = 173158622. Its totient is φ = 14731200.

The previous prime is 55242871. The next prime is 55242919. The reversal of 55242900 is 924255.

It can be written as a sum of positive squares in 3 ways, for example, as 156816 + 55086084 = 396^2 + 7422^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29791 + ... + 31590.

Almost surely, 255242900 is an apocalyptic number.

55242900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55242900 is an abundant number, since it is smaller than the sum of its proper divisors (117915722).

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

55242900 is a wasteful number, since it uses less digits than its factorization.

55242900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61401 (or 61391 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55242900 is about 7432.5567606309. The cubic root of 55242900 is about 380.8542646375.

The spelling of 55242900 in words is "fifty-five million, two hundred forty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 61381 122762 184143 245524 306905 368286 552429 613810 736572 920715 1104858 1227620 1534525 1841430 2209716 2762145 3069050 3682860 4603575 5524290 6138100 9207150 11048580 13810725 18414300 27621450 55242900