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95374368 = 2533167661
BaseRepresentation
bin1011010111101…
…00110000100000
320122110112001000
411223310300200
5143403434433
613244112000
72235445245
oct553646040
9218415030
1095374368
11499221a1
1227b35600
13169b424b
14c9495cc
15858e113
hex5af4c20

95374368 has 96 divisors (see below), whose sum is σ = 280264320. Its totient is φ = 31553280.

The previous prime is 95374339. The next prime is 95374379. The reversal of 95374368 is 86347359.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143958 + ... + 144618.

It is an arithmetic number, because the mean of its divisors is an integer number (2919420).

Almost surely, 295374368 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 95374368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140132160).

95374368 is an abundant number, since it is smaller than the sum of its proper divisors (184889952).

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

95374368 is a wasteful number, since it uses less digits than its factorization.

95374368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 833 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 95374368 is about 9765.9801351426. The cubic root of 95374368 is about 456.8888480242. Note that the first 4 decimals are identical.

The spelling of 95374368 in words is "ninety-five million, three hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 167 216 288 334 432 501 661 668 864 1002 1322 1336 1503 1983 2004 2644 2672 3006 3966 4008 4509 5288 5344 5949 6012 7932 8016 9018 10576 11898 12024 15864 16032 17847 18036 21152 23796 24048 31728 35694 36072 47592 48096 63456 71388 72144 95184 110387 142776 144288 190368 220774 285552 331161 441548 571104 662322 883096 993483 1324644 1766192 1986966 2649288 2980449 3532384 3973932 5298576 5960898 7947864 10597152 11921796 15895728 23843592 31791456 47687184 95374368