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96825630 = 235112312757
BaseRepresentation
bin1011100010101…
…11000100011110
320202012020210110
411301113010132
5144241410010
613335150450
72254001316
oct561270436
9222166713
1096825630
114a723590
1228515426
13170a1995
14cc06446
158779120
hex5c5711e

96825630 has 64 divisors (see below), whose sum is σ = 264549888. Its totient is φ = 22450560.

The previous prime is 96825629. The next prime is 96825643. The reversal of 96825630 is 3652869.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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, 1212 + ... + 13968.

It is an arithmetic number, because the mean of its divisors is an integer number (4133592).

Almost surely, 296825630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96825630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132274944).

96825630 is an abundant number, since it is smaller than the sum of its proper divisors (167724258).

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

96825630 is a wasteful number, since it uses less digits than its factorization.

96825630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12801.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 96825630 is about 9840.0015243901. The cubic root of 96825630 is about 459.1946051835.

The spelling of 96825630 in words is "ninety-six million, eight hundred twenty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 12757 25514 38271 63785 76542 127570 140327 191355 280654 293411 382710 420981 586822 701635 841962 880233 1403270 1467055 1760466 2104905 2934110 3227521 4209810 4401165 6455042 8802330 9682563 16137605 19365126 32275210 48412815 96825630