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93993920 = 2652391229
BaseRepresentation
bin1011001101000…
…11101111000000
320112212101102022
411212203233000
5143030301140
613154341012
72220635516
oct546435700
9215771368
1093993920
114906a029
122758a768
131661cb07
14c6aa4b6
1583ba0b5
hex59a3bc0

93993920 has 56 divisors (see below), whose sum is σ = 224942400. Its totient is φ = 37409792.

The previous prime is 93993899. The next prime is 93993929. The reversal of 93993920 is 2939939.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93993929) 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 7 ways as a sum of consecutive naturals, for example, 75866 + ... + 77094.

Almost surely, 293993920 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 93993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112471200).

93993920 is an abundant number, since it is smaller than the sum of its proper divisors (130948480).

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

93993920 is a wasteful number, since it uses less digits than its factorization.

93993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 44.

The square root of 93993920 is about 9695.0461577034. The cubic root of 93993920 is about 454.6737910590.

The spelling of 93993920 in words is "ninety-three million, nine hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 239 320 478 956 1195 1229 1912 2390 2458 3824 4780 4916 6145 7648 9560 9832 12290 15296 19120 19664 24580 38240 39328 49160 76480 78656 98320 196640 293731 393280 587462 1174924 1468655 2349848 2937310 4699696 5874620 9399392 11749240 18798784 23498480 46996960 93993920