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49254120 = 23325414771
BaseRepresentation
bin1011101111100…
…0111011101000
310102200100221200
42323320323220
5100102112440
64515404200
71135440006
oct273707350
9112610850
1049254120
1125891393
12145b3660
13a286a66
146781a76
1544cdc30
hex2ef8ee8

49254120 has 192 divisors, whose sum is σ = 169827840. Its totient is φ = 12364800.

The previous prime is 49254097. The next prime is 49254143. The reversal of 49254120 is 2145294.

49254120 is a `hidden beast` number, since 492 + 54 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (49254097) and next prime (49254143).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693685 + ... + 693755.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 249254120 is an apocalyptic number.

49254120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

49254120 is an abundant number, since it is smaller than the sum of its proper divisors (120573720).

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

49254120 is a wasteful number, since it uses less digits than its factorization.

49254120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 49254120 is about 7018.1279555163. The cubic root of 49254120 is about 366.5620675008.

It can be divided in two parts, 4925 and 4120, that added together give a triangular number (9045 = T134).

The spelling of 49254120 in words is "forty-nine million, two hundred fifty-four thousand, one hundred twenty".