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96983376 = 2437319311
BaseRepresentation
bin1011100011111…
…01100101010000
320202111021011220
411301331211100
5144311432001
613342405040
72255226240
oct561754520
9222437156
1096983376
114a821056
1228590780
1317128719
14cc47b20
1587aac36
hex5c7d950

96983376 has 80 divisors (see below), whose sum is σ = 295600128. Its totient is φ = 26812800.

The previous prime is 96983339. The next prime is 96983399. The reversal of 96983376 is 67338969.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5761 + ... + 15071.

Almost surely, 296983376 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 96983376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147800064).

96983376 is an abundant number, since it is smaller than the sum of its proper divisors (198616752).

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

96983376 is a wasteful number, since it uses less digits than its factorization.

96983376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9354 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 96983376 is about 9848.0138099010. The cubic root of 96983376 is about 459.4438395054.

The spelling of 96983376 in words is "ninety-six million, nine hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 9311 10416 18622 27933 37244 55866 65177 74488 111732 130354 148976 195531 223464 260708 288641 391062 446928 521416 577282 782124 865923 1042832 1154564 1564248 1731846 2020487 2309128 3128496 3463692 4040974 4618256 6061461 6927384 8081948 12122922 13854768 16163896 24245844 32327792 48491688 96983376