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992161464 = 233759199503
BaseRepresentation
bin111011001000110…
…010111010111000
32120010221000122220
4323020302322320
54012443131324
6242241244040
733405143010
oct7310627270
92503830586
10992161464
1146a05a658
12238333620
1312a7243b8
1495aaac40
155c183b79
hex3b232eb8

992161464 has 128 divisors (see below), whose sum is σ = 2903040000. Its totient is φ = 276718464.

The previous prime is 992161453. The next prime is 992161477. The reversal of 992161464 is 464161299.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1972237 + ... + 1972739.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 2992161464 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 992161464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520000).

992161464 is an abundant number, since it is smaller than the sum of its proper divisors (1910878536).

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

992161464 is a wasteful number, since it uses less digits than its factorization.

992161464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 992161464 is about 31498.5946353167. The cubic root of 992161464 is about 997.3802978200.

The spelling of 992161464 in words is "nine hundred ninety-two million, one hundred sixty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 199 236 354 398 413 472 503 597 708 796 826 1006 1194 1239 1393 1416 1509 1592 1652 2012 2388 2478 2786 3018 3304 3521 4024 4179 4776 4956 5572 6036 7042 8358 9912 10563 11144 11741 12072 14084 16716 21126 23482 28168 29677 33432 35223 42252 46964 59354 70446 82187 84504 89031 93928 100097 118708 140892 164374 178062 200194 207739 237416 246561 281784 300291 328748 356124 400388 415478 493122 600582 623217 657496 700679 712248 800776 830956 986244 1201164 1246434 1401358 1661912 1972488 2102037 2402328 2492868 2802716 4204074 4985736 5605432 5905723 8408148 11811446 16816296 17717169 23622892 35434338 41340061 47245784 70868676 82680122 124020183 141737352 165360244 248040366 330720488 496080732 992161464