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980551296 = 27321750069
BaseRepresentation
bin111010011100100…
…000011010000000
32112100002011111200
4322130200122000
54002010120141
6241144341200
733204356064
oct7234403200
92470064450
10980551296
1146354a77a
12234474800
131281ba98a
1494327aa4
155b13dab6
hex3a720680

980551296 has 96 divisors (see below), whose sum is σ = 2987676900. Its totient is φ = 307617792.

The previous prime is 980551237. The next prime is 980551301. The reversal of 980551296 is 692155089.

980551296 is a `hidden beast` number, since 9 + 8 + 0 + 551 + 2 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 915909696 + 64641600 = 30264^2 + 8040^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9805512962 = 1922961688174559232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5451 + ... + 44618.

Almost surely, 2980551296 is an apocalyptic number.

980551296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980551296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493838450).

980551296 is an abundant number, since it is smaller than the sum of its proper divisors (2007125604).

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

980551296 is a wasteful number, since it uses less digits than its factorization.

980551296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50106 (or 50091 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 980551296 is about 31313.7556993728. The cubic root of 980551296 is about 993.4746105781.

The spelling of 980551296 in words is "nine hundred eighty million, five hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 50069 100138 150207 200276 300414 400552 450621 600828 801104 851173 901242 1201656 1602208 1702346 1802484 2403312 2553519 3204416 3404692 3604968 4806624 5107038 6408832 6809384 7209936 7660557 9613248 10214076 13618768 14419872 15321114 19226496 20428152 27237536 28839744 30642228 40856304 54475072 57679488 61284456 81712608 108950144 122568912 163425216 245137824 326850432 490275648 980551296