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93427712 = 2117419
BaseRepresentation
bin1011001000110…
…01100000000000
320111210121201122
411210121200000
5142404141322
613134251412
72213060000
oct544314000
9214717648
1093427712
1148812694
1227356b68
1316482191
14c5a0000
158307442
hex5919800

93427712 has 120 divisors (see below), whose sum is σ = 229401900. Its totient is φ = 37933056.

The previous prime is 93427703. The next prime is 93427721. The reversal of 93427712 is 21772439.

It is an interprime number because it is at equal distance from previous prime (93427703) and next prime (93427721).

Its product of digits (21168) is a multiple of the sum of its prime divisors (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4917239 + ... + 4917257.

Almost surely, 293427712 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 93427712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114700950).

93427712 is an abundant number, since it is smaller than the sum of its proper divisors (135974188).

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

93427712 is an frugal number, since it uses more digits than its factorization.

93427712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its digits is 21168, while the sum is 35.

The square root of 93427712 is about 9665.8011566554. The cubic root of 93427712 is about 453.7589850665.

The spelling of 93427712 in words is "ninety-three million, four hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 343 392 448 512 532 608 686 784 896 931 1024 1064 1216 1372 1568 1792 1862 2048 2128 2401 2432 2744 3136 3584 3724 4256 4802 4864 5488 6272 6517 7168 7448 8512 9604 9728 10976 12544 13034 14336 14896 17024 19208 19456 21952 25088 26068 29792 34048 38416 38912 43904 45619 50176 52136 59584 68096 76832 87808 91238 100352 104272 119168 136192 153664 175616 182476 208544 238336 272384 307328 351232 364952 417088 476672 614656 702464 729904 834176 953344 1229312 1459808 1668352 1906688 2458624 2919616 3336704 4917248 5839232 6673408 11678464 13346816 23356928 46713856 93427712