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95098024 = 2372416197
BaseRepresentation
bin1011010101100…
…01010010101000
320121221110222001
411222301102220
5143321114044
613234140344
72233214500
oct552612250
9217843861
1095098024
114975360a
1227a216b4
1316918528
14c8b6a00
1585372d4
hex5ab14a8

95098024 has 96 divisors (see below), whose sum is σ = 218189160. Its totient is φ = 38707200.

The previous prime is 95097973. The next prime is 95098027. The reversal of 95098024 is 42089059.

It can be written as a sum of positive squares in 4 ways, for example, as 27562500 + 67535524 = 5250^2 + 8218^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95098027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980344 + ... + 980440.

Almost surely, 295098024 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 95098024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109094580).

95098024 is an abundant number, since it is smaller than the sum of its proper divisors (123091136).

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

95098024 is a wasteful number, since it uses less digits than its factorization.

95098024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 95098024 is about 9751.8215734292. The cubic root of 95098024 is about 456.4471478260.

The spelling of 95098024 in words is "ninety-five million, ninety-eight thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 61 82 97 98 122 164 194 196 244 287 328 388 392 427 488 574 679 776 854 1148 1358 1708 2009 2296 2501 2716 2989 3416 3977 4018 4753 5002 5432 5917 5978 7954 8036 9506 10004 11834 11956 15908 16072 17507 19012 20008 23668 23912 27839 31816 35014 38024 41419 47336 55678 70028 82838 111356 122549 140056 165676 194873 222712 242597 245098 289933 331352 389746 485194 490196 579866 779492 970388 980392 1159732 1558984 1698179 1940776 2319464 3396358 6792716 11887253 13585432 23774506 47549012 95098024