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95493240 = 233251923607
BaseRepresentation
bin1011011000100…
…01110001111000
320122200120002200
411230101301320
5143421240430
613250430200
72236451643
oct554216170
9218616080
1095493240
11499a3537
1227b92360
1316a2639b
14c97aa5a
1585b4460
hex5b11c78

95493240 has 192 divisors, whose sum is σ = 341452800. Its totient is φ = 23037696.

The previous prime is 95493197. The next prime is 95493241. The reversal of 95493240 is 4239459.

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 = 95493195 and 95493204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95493241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157017 + ... + 157623.

It is an arithmetic number, because the mean of its divisors is an integer number (1778400).

Almost surely, 295493240 is an apocalyptic number.

95493240 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 95493240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

95493240 is an abundant number, since it is smaller than the sum of its proper divisors (245959560).

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

95493240 is a wasteful number, since it uses less digits than its factorization.

95493240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 95493240 is about 9772.0642650363. The cubic root of 95493240 is about 457.0785871328.

The spelling of 95493240 in words is "ninety-five million, four hundred ninety-three thousand, two hundred forty".