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96853248 = 2832127331
BaseRepresentation
bin1011100010111…
…01110100000000
320202020122200100
411301131310000
5144243300443
613335522400
72254144662
oct561356400
9222218610
1096853248
114a742308
1228529400
13170b141b
14cc12532
1587823d3
hex5c5dd00

96853248 has 108 divisors (see below), whose sum is σ = 282300928. Its totient is φ = 31933440.

The previous prime is 96853223. The next prime is 96853283. The reversal of 96853248 is 84235869.

Its product of digits (414720) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292443 + ... + 292773.

Almost surely, 296853248 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 96853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141150464).

96853248 is an abundant number, since it is smaller than the sum of its proper divisors (185447680).

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

96853248 is a wasteful number, since it uses less digits than its factorization.

96853248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 96853248 is about 9841.4047777744. The cubic root of 96853248 is about 459.2382603983.

The spelling of 96853248 in words is "ninety-six million, eight hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 331 381 384 508 576 662 762 768 993 1016 1143 1152 1324 1524 1986 2032 2286 2304 2648 2979 3048 3972 4064 4572 5296 5958 6096 7944 8128 9144 10592 11916 12192 15888 16256 18288 21184 23832 24384 31776 32512 36576 42037 42368 47664 48768 63552 73152 84074 84736 95328 97536 126111 127104 146304 168148 190656 252222 254208 292608 336296 378333 381312 504444 672592 756666 762624 1008888 1345184 1513332 2017776 2690368 3026664 4035552 5380736 6053328 8071104 10761472 12106656 16142208 24213312 32284416 48426624 96853248