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96736752 = 24327195051
BaseRepresentation
bin1011100010000…
…01010111110000
320202000201212200
411301001113300
5144231034002
613333223200
72253151230
oct561012760
9222021780
1096736752
114a672832
1228491b00
13170703a8
14cbc1cc0
15875cb1c
hex5c415f0

96736752 has 120 divisors (see below), whose sum is σ = 325752960. Its totient is φ = 26179200.

The previous prime is 96736747. The next prime is 96736793. The reversal of 96736752 is 25763769.

It is a junction number, because it is equal to n+sod(n) for n = 96736698 and 96736707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16627 + ... + 21677.

It is an arithmetic number, because the mean of its divisors is an integer number (2714608).

Almost surely, 296736752 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 96736752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162876480).

96736752 is an abundant number, since it is smaller than the sum of its proper divisors (229016208).

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

96736752 is a wasteful number, since it uses less digits than its factorization.

96736752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091 (or 5082 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 96736752 is about 9835.4843297115. The cubic root of 96736752 is about 459.0540611563.

The spelling of 96736752 in words is "ninety-six million, seven hundred thirty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 5051 6384 9576 10102 15153 19152 20204 30306 35357 40408 45459 60612 70714 80816 90918 95969 106071 121224 141428 181836 191938 212142 242448 282856 287907 318213 363672 383876 424284 565712 575814 636426 671783 727344 767752 848568 863721 1151628 1272852 1343566 1535504 1697136 1727442 2015349 2303256 2545704 2687132 3454884 4030698 4606512 5091408 5374264 6046047 6909768 8061396 10748528 12092094 13819536 16122792 24184188 32245584 48368376 96736752