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96906992 = 247131931113
BaseRepresentation
bin1011100011010…
…10111011110000
320202100101101212
411301222323300
5144302010432
613341015252
72254460450
oct561527360
9222311355
1096906992
114a779726
1228554528
13170cca20
14cc27d60
1587932b2
hex5c6aef0

96906992 has 160 divisors (see below), whose sum is σ = 253317120. Its totient is φ = 34836480.

The previous prime is 96906947. The next prime is 96907001. The reversal of 96906992 is 29960969.

It is a self number, because there is not a number n which added to its sum of digits gives 96906992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857528 + ... + 857640.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 296906992 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 96906992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

96906992 is an abundant number, since it is smaller than the sum of its proper divisors (156410128).

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

96906992 is a wasteful number, since it uses less digits than its factorization.

96906992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 50.

The square root of 96906992 is about 9844.1349035860. The cubic root of 96906992 is about 459.3231886712.

The spelling of 96906992 in words is "ninety-six million, nine hundred six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 31 38 52 56 62 76 91 104 112 113 124 133 152 182 208 217 226 247 248 266 304 364 403 434 452 494 496 532 589 728 791 806 868 904 988 1064 1178 1456 1469 1582 1612 1729 1736 1808 1976 2128 2147 2356 2821 2938 3164 3224 3458 3472 3503 3952 4123 4294 4712 5642 5876 6328 6448 6916 7006 7657 8246 8588 9424 10283 11284 11752 12656 13832 14012 15029 15314 16492 17176 20566 22568 23504 24521 27664 27911 28024 30058 30628 32984 34352 41132 45136 45539 49042 53599 55822 56048 60116 61256 65968 66557 82264 91078 98084 107198 111644 120232 122512 133114 164528 182156 195377 196168 214396 223288 240464 266228 318773 364312 390754 392336 428792 446576 465899 532456 637546 728624 781508 857584 865241 931798 1064912 1275092 1563016 1730482 1863596 2550184 3126032 3460964 3727192 5100368 6056687 6921928 7454384 12113374 13843856 24226748 48453496 96906992