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93158016 = 273724951
BaseRepresentation
bin1011000110101…
…11101010000000
320111021220202220
411203113222000
5142322024031
613124411040
72210554500
oct543275200
9214256686
1093158016
1148648aa6
1227246a80
13163b94b3
14c52da00
1582a2596
hex58d7a80

93158016 has 96 divisors (see below), whose sum is σ = 287909280. Its totient is φ = 26611200.

The previous prime is 93158003. The next prime is 93158017. The reversal of 93158016 is 61085139.

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

It is not an unprimeable number, because it can be changed into a prime (93158017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16341 + ... + 21291.

It is an arithmetic number, because the mean of its divisors is an integer number (2999055).

Almost surely, 293158016 is an apocalyptic number.

93158016 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 93158016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143954640).

93158016 is an abundant number, since it is smaller than the sum of its proper divisors (194751264).

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

93158016 is a wasteful number, since it uses less digits than its factorization.

93158016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 93158016 is about 9651.8400318281. The cubic root of 93158016 is about 453.3219451195.

The spelling of 93158016 in words is "ninety-three million, one hundred fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 4951 6272 9408 9902 14853 18816 19804 29706 34657 39608 59412 69314 79216 103971 118824 138628 158432 207942 237648 242599 277256 316864 415884 475296 485198 554512 633728 727797 831768 950592 970396 1109024 1455594 1663536 1901184 1940792 2218048 2911188 3327072 3881584 4436096 5822376 6654144 7763168 11644752 13308288 15526336 23289504 31052672 46579008 93158016