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992973016 = 2371014192
BaseRepresentation
bin111011001011111…
…001000011011000
32120012110020220101
4323023321003120
54013200114031
6242310505144
733415063030
oct7313710330
92505406811
10992973016
1146a564362
122386651b4
1312a9498c9
1495c3c8c0
155c294361
hex3b2f90d8

992973016 has 48 divisors (see below), whose sum is σ = 2154007440. Its totient is φ = 420340800.

The previous prime is 992973013. The next prime is 992973103. The reversal of 992973016 is 610379299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992973011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2369655 + ... + 2370073.

It is an arithmetic number, because the mean of its divisors is an integer number (44875155).

Almost surely, 2992973016 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 992973016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077003720).

992973016 is an abundant number, since it is smaller than the sum of its proper divisors (1161034424).

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

992973016 is a wasteful number, since it uses less digits than its factorization.

992973016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 46.

The square root of 992973016 is about 31511.4743545903. The cubic root of 992973016 is about 997.6521639800.

The spelling of 992973016 in words is "nine hundred ninety-two million, nine hundred seventy-three thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 419 707 808 838 1414 1676 2828 2933 3352 5656 5866 11732 23464 42319 84638 169276 175561 296233 338552 351122 592466 702244 1184932 1228927 1404488 2369864 2457854 4915708 9831416 17731661 35463322 70926644 124121627 141853288 248243254 496486508 992973016