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997879584 = 253133125793
BaseRepresentation
bin111011011110100…
…110111100100000
32120112200112110010
4323132212330200
54020424121314
6243004004520
733504556632
oct7336467440
92515615403
10997879584
11472305779
1223a230740
1312b976cc0
1496758a52
155c913059
hex3b7a6f20

997879584 has 96 divisors (see below), whose sum is σ = 2912039424. Its totient is φ = 297123840.

The previous prime is 997879537. The next prime is 997879591. The reversal of 997879584 is 485978799.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25792 + ... + 51584.

It is an arithmetic number, because the mean of its divisors is an integer number (30333744).

Almost surely, 2997879584 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 997879584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456019712).

997879584 is an abundant number, since it is smaller than the sum of its proper divisors (1914159840).

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

997879584 is a wasteful number, since it uses less digits than its factorization.

997879584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25850 (or 25842 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 66.

The square root of 997879584 is about 31589.2320894320. The cubic root of 997879584 is about 999.2926945036.

The spelling of 997879584 in words is "nine hundred ninety-seven million, eight hundred seventy-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 25793 38688 51586 77379 103172 154758 206344 309516 335309 412688 619032 670618 799583 825376 1005927 1238064 1341236 1599166 2011854 2398749 2476128 2682472 3198332 4023708 4797498 5364944 6396664 8047416 9594996 10394579 10729888 12793328 16094832 19189992 20789158 25586656 31183737 32189664 38379984 41578316 62367474 76759968 83156632 124734948 166313264 249469896 332626528 498939792 997879584