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96874752 = 2831331313
BaseRepresentation
bin1011100011000…
…11000100000000
320202021202011210
411301203010000
5144244443002
613340210120
72254264452
oct561430400
9222252153
1096874752
114a757487
1228539940
13170bb150
14cc1a2d2
15878896c
hex5c63100

96874752 has 144 divisors (see below), whose sum is σ = 287533568. Its totient is φ = 28753920.

The previous prime is 96874751. The next prime is 96874753. The reversal of 96874752 is 25747869.

It is an interprime number because it is at equal distance from previous prime (96874751) and next prime (96874753).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (96874751) 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, 309348 + ... + 309660.

Almost surely, 296874752 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 96874752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143766784).

96874752 is an abundant number, since it is smaller than the sum of its proper divisors (190658816).

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

96874752 is a wasteful number, since it uses less digits than its factorization.

96874752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 96874752 is about 9842.4972440941. The cubic root of 96874752 is about 459.2722455906.

The spelling of 96874752 in words is "ninety-six million, eight hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 313 372 384 403 416 496 624 626 744 768 806 832 939 992 1209 1248 1252 1488 1612 1664 1878 1984 2418 2496 2504 2976 3224 3328 3756 3968 4069 4836 4992 5008 5952 6448 7512 7936 8138 9672 9703 9984 10016 11904 12207 12896 15024 16276 19344 19406 20032 23808 24414 25792 29109 30048 32552 38688 38812 40064 48828 51584 58218 60096 65104 77376 77624 80128 97656 103168 116436 120192 126139 130208 154752 155248 195312 232872 240384 252278 260416 309504 310496 378417 390624 465744 504556 520832 620992 756834 781248 931488 1009112 1041664 1241984 1513668 1562496 1862976 2018224 2483968 3027336 3124992 3725952 4036448 6054672 7451904 8072896 12109344 16145792 24218688 32291584 48437376 96874752