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54920900 = 22522572137
BaseRepresentation
bin1101000110000…
…0011011000100
310211100021022102
43101200123010
5103024432100
65241051232
71234551146
oct321403304
9124307272
1054920900
1129001981
1216486b18
13b4bc198
147418c96
154c4ccd5
hex34606c4

54920900 has 36 divisors (see below), whose sum is σ = 119698068. Its totient is φ = 21872640.

The previous prime is 54920891. The next prime is 54920911. The reversal of 54920900 is 902945.

It can be written as a sum of positive squares in 6 ways, for example, as 515524 + 54405376 = 718^2 + 7376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24632 + ... + 26768.

Almost surely, 254920900 is an apocalyptic number.

54920900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54920900 is an abundant number, since it is smaller than the sum of its proper divisors (64777168).

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

54920900 is a wasteful number, since it uses less digits than its factorization.

54920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 54920900 is about 7410.8636473761. The cubic root of 54920900 is about 380.1128473712.

The spelling of 54920900 in words is "fifty-four million, nine hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 514 1028 1285 2137 2570 4274 5140 6425 8548 10685 12850 21370 25700 42740 53425 106850 213700 549209 1098418 2196836 2746045 5492090 10984180 13730225 27460450 54920900