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94085376 = 2837113743
BaseRepresentation
bin1011001101110…
…10000100000000
320120001000212120
411212322010000
5143041213001
613200324240
72221466250
oct546720400
9216030776
1094085376
1149121810
1227613680
1316652628
14c6d1960
1583d7236
hex59ba100

94085376 has 288 divisors, whose sum is σ = 328086528. Its totient is φ = 23224320.

The previous prime is 94085323. The next prime is 94085389. The reversal of 94085376 is 67358049.

It is a happy number.

It is a super-2 number, since 2×940853762 = 17704115954122752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2188011 + ... + 2188053.

Almost surely, 294085376 is an apocalyptic number.

94085376 is a gapful number since it is divisible by the number (96) 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 94085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164043264).

94085376 is an abundant number, since it is smaller than the sum of its proper divisors (234001152).

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

94085376 is a wasteful number, since it uses less digits than its factorization.

94085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 94085376 is about 9699.7616465561. The cubic root of 94085376 is about 454.8212089873.

The spelling of 94085376 in words is "ninety-four million, eighty-five thousand, three hundred seventy-six".