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95248440 = 23335743293
BaseRepresentation
bin1011010110101…
…10000000111000
320122020010022000
411223112000320
5143340422230
613241301000
72234412150
oct553260070
9218203260
1095248440
1149846621
1227a94760
131696bb31
14c915760
158566b60
hex5ad6038

95248440 has 256 divisors, whose sum is σ = 372556800. Its totient is φ = 21192192.

The previous prime is 95248427. The next prime is 95248469. The reversal of 95248440 is 4484259.

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

It is a junction number, because it is equal to n+sod(n) for n = 95248395 and 95248404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324934 + ... + 325226.

It is an arithmetic number, because the mean of its divisors is an integer number (1455300).

Almost surely, 295248440 is an apocalyptic number.

95248440 is a gapful number since it is divisible by the number (90) 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 95248440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

95248440 is an abundant number, since it is smaller than the sum of its proper divisors (277308360).

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

95248440 is a wasteful number, since it uses less digits than its factorization.

95248440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 95248440 is about 9759.5307264233. The cubic root of 95248440 is about 456.6876743374.

The spelling of 95248440 in words is "ninety-five million, two hundred forty-eight thousand, four hundred forty".