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96083694 = 232717311447
BaseRepresentation
bin1011011101000…
…01111011101110
320200210120001100
411232201323232
5144044134234
613311223530
72244461250
oct556417356
9220716040
1096083694
114a267113
1228217ba6
1316ba2075
14ca91cd0
15867e399
hex5ba1eee

96083694 has 96 divisors (see below), whose sum is σ = 260222976. Its totient is φ = 24986880.

The previous prime is 96083657. The next prime is 96083707. The reversal of 96083694 is 49638069.

96083694 is a `hidden beast` number, since 9 + 608 + 36 + 9 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65679 + ... + 67125.

It is an arithmetic number, because the mean of its divisors is an integer number (2710656).

Almost surely, 296083694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96083694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130111488).

96083694 is an abundant number, since it is smaller than the sum of its proper divisors (164139282).

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

96083694 is a wasteful number, since it uses less digits than its factorization.

96083694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 96083694 is about 9802.2290322151. The cubic root of 96083694 is about 458.0187218627.

The spelling of 96083694 in words is "ninety-six million, eighty-three thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 51 62 63 93 102 119 126 153 186 217 238 279 306 357 434 527 558 651 714 1054 1071 1302 1447 1581 1953 2142 2894 3162 3689 3906 4341 4743 7378 8682 9486 10129 11067 13023 20258 22134 24599 26046 30387 33201 44857 49198 60774 66402 73797 89714 91161 134571 147594 172193 182322 221391 269142 313999 344386 403713 442782 516579 627998 762569 807426 941997 1033158 1525138 1549737 1883994 2287707 2825991 3099474 4575414 5337983 5651982 6863121 10675966 13726242 16013949 32027898 48041847 96083694