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48126960 = 2434571061
BaseRepresentation
bin1011011110010…
…1101111110000
310100120002210000
42313211233300
544310030320
64435310000
71123033560
oct267455760
9110502700
1048126960
1125191552
121414b300
139c809bb
14656ada0
154359c90
hex2de5bf0

48126960 has 200 divisors, whose sum is σ = 191210976. Its totient is φ = 10990080.

The previous prime is 48126941. The next prime is 48127003. The reversal of 48126960 is 6962184.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44830 + ... + 45890.

Almost surely, 248126960 is an apocalyptic number.

48126960 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 48126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95605488).

48126960 is an abundant number, since it is smaller than the sum of its proper divisors (143084016).

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

48126960 is a wasteful number, since it uses less digits than its factorization.

48126960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 48126960 is about 6937.3597283116. The cubic root of 48126960 is about 363.7442554093.

The spelling of 48126960 in words is "forty-eight million, one hundred twenty-six thousand, nine hundred sixty".