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93144996 = 223271133271
BaseRepresentation
bin1011000110101…
…00011110100100
320111021020220200
411203110132210
5142321114441
613124230500
72210501520
oct543243644
9214236820
1093144996
114863a23a
122723b430
13163b35a9
14c528d80
15829d7b6
hex58d47a4

93144996 has 72 divisors (see below), whose sum is σ = 271549824. Its totient is φ = 26369280.

The previous prime is 93144991. The next prime is 93145001. The reversal of 93144996 is 69944139.

It is an interprime number because it is at equal distance from previous prime (93144991) and next prime (93145001).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (93144991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26841 + ... + 30111.

Almost surely, 293144996 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 93144996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135774912).

93144996 is an abundant number, since it is smaller than the sum of its proper divisors (178404828).

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

93144996 is a wasteful number, since it uses less digits than its factorization.

93144996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3396 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 93144996 is about 9651.1655254689. The cubic root of 93144996 is about 453.3008249949.

The spelling of 93144996 in words is "ninety-three million, one hundred forty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 3271 4068 4746 6542 7119 9492 9813 13084 14238 19626 22897 28476 29439 39252 45794 58878 68691 91588 117756 137382 206073 274764 369623 412146 739246 824292 1108869 1478492 2217738 2587361 3326607 4435476 5174722 6653214 7762083 10349444 13306428 15524166 23286249 31048332 46572498 93144996