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91993616 = 241113311297
BaseRepresentation
bin1010111101110…
…11011000010000
320102002202111222
411132323120100
5142022243431
613043424212
72164634651
oct536733020
9212082458
1091993616
1147a23190
1226985068
131609c4c0
14c309528
15812257b
hex57bb610

91993616 has 80 divisors (see below), whose sum is σ = 216319488. Its totient is φ = 37324800.

The previous prime is 91993609. The next prime is 91993619. The reversal of 91993616 is 61639919.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91993619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70280 + ... + 71576.

Almost surely, 291993616 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 91993616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108159744).

91993616 is an abundant number, since it is smaller than the sum of its proper divisors (124325872).

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

91993616 is a wasteful number, since it uses less digits than its factorization.

91993616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its digits is 78732, while the sum is 44.

The square root of 91993616 is about 9591.3302518472. The cubic root of 91993616 is about 451.4253014008.

The spelling of 91993616 in words is "ninety-one million, nine hundred ninety-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 248 286 341 403 496 572 682 806 1144 1297 1364 1612 2288 2594 2728 3224 4433 5188 5456 6448 8866 10376 14267 16861 17732 20752 28534 33722 35464 40207 57068 67444 70928 80414 114136 134888 160828 185471 228272 269776 321656 370942 442277 522691 643312 741884 884554 1045382 1483768 1769108 2090764 2967536 3538216 4181528 5749601 7076432 8363056 11499202 22998404 45996808 91993616