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95276496 = 24372331217
BaseRepresentation
bin1011010110111…
…00110111010000
320122021112210010
411223130313100
5143342321441
613242034520
72234560020
oct553346720
9218245703
1095276496
1149865707
1227aa8a40
131697b833
14c921a80
158570116
hex5adcdd0

95276496 has 80 divisors (see below), whose sum is σ = 282731904. Its totient is φ = 27082752.

The previous prime is 95276491. The next prime is 95276501. The reversal of 95276496 is 69467259.

It is an interprime number because it is at equal distance from previous prime (95276491) and next prime (95276501).

It is a super-2 number, since 2×952764962 = 18155221380076032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95276491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77680 + ... + 78896.

Almost surely, 295276496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95276496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141365952).

95276496 is an abundant number, since it is smaller than the sum of its proper divisors (187455408).

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

95276496 is a wasteful number, since it uses less digits than its factorization.

95276496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 95276496 is about 9760.9679847851. The cubic root of 95276496 is about 456.7325099679.

The spelling of 95276496 in words is "ninety-five million, two hundred seventy-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 233 336 466 699 932 1217 1398 1631 1864 2434 2796 3262 3651 3728 4868 4893 5592 6524 7302 8519 9736 9786 11184 13048 14604 17038 19472 19572 25557 26096 29208 34076 39144 51114 58416 68152 78288 102228 136304 204456 283561 408912 567122 850683 1134244 1701366 1984927 2268488 3402732 3969854 4536976 5954781 6805464 7939708 11909562 13610928 15879416 23819124 31758832 47638248 95276496