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9982752 = 2531319421
BaseRepresentation
bin100110000101…
…001100100000
3200210011202120
4212011030200
510023422002
6553544240
7150565143
oct46051440
920704676
109982752
1156a920a
123415080
1320b6a70
14147c05a
15d22cbc
hex985320

9982752 has 96 divisors (see below), whose sum is σ = 29776320. Its totient is φ = 2903040.

The previous prime is 9982747. The next prime is 9982769. The reversal of 9982752 is 2572899.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23502 + ... + 23922.

It is an arithmetic number, because the mean of its divisors is an integer number (310170).

Almost surely, 29982752 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 9982752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888160).

9982752 is an abundant number, since it is smaller than the sum of its proper divisors (19793568).

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

9982752 is a wasteful number, since it uses less digits than its factorization.

9982752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 9982752 is about 3159.5493349527. The cubic root of 9982752 is about 215.3195320886.

The spelling of 9982752 in words is "nine million, nine hundred eighty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 421 456 494 608 624 741 842 912 988 1248 1263 1482 1684 1824 1976 2526 2964 3368 3952 5052 5473 5928 6736 7904 7999 10104 10946 11856 13472 15998 16419 20208 21892 23712 23997 31996 32838 40416 43784 47994 63992 65676 87568 95988 103987 127984 131352 175136 191976 207974 255968 262704 311961 383952 415948 525408 623922 767904 831896 1247844 1663792 2495688 3327584 4991376 9982752