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9976992 = 2531031009
BaseRepresentation
bin100110000011…
…110010100000
3200202212212020
4212003302200
510023230432
6553501440
7150542304
oct46036240
920685766
109976992
1156a4953
123411880
1320b425c
141479d04
15d2122c
hex983ca0

9976992 has 48 divisors (see below), whose sum is σ = 26470080. Its totient is φ = 3290112.

The previous prime is 9976937. The next prime is 9977021. The reversal of 9976992 is 2996799.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9384 + ... + 10392.

It is an arithmetic number, because the mean of its divisors is an integer number (551460).

Almost surely, 29976992 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 9976992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13235040).

9976992 is an abundant number, since it is smaller than the sum of its proper divisors (16493088).

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

9976992 is a wasteful number, since it uses less digits than its factorization.

9976992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1117 counting only the distinct ones).

The product of its digits is 551124, while the sum is 51.

The square root of 9976992 is about 3158.6376810264. The cubic root of 9976992 is about 215.2781113421.

The spelling of 9976992 in words is "nine million, nine hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1009 1236 1648 2018 2472 3027 3296 4036 4944 6054 8072 9888 12108 16144 24216 32288 48432 96864 103927 207854 311781 415708 623562 831416 1247124 1662832 2494248 3325664 4988496 9976992