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9952704 = 263237467
BaseRepresentation
bin100101111101…
…110111000000
3200201122112200
4211331313000
510021441304
6553153200
7150411426
oct45756700
920648480
109952704
115688683
1233bb800
1320a6198
141471116
15d18e39
hex97ddc0

9952704 has 84 divisors (see below), whose sum is σ = 29361384. Its totient is φ = 3220992.

The previous prime is 9952693. The next prime is 9952727. The reversal of 9952704 is 4072599.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21079 + ... + 21545.

Almost surely, 29952704 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 9952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680692).

9952704 is an abundant number, since it is smaller than the sum of its proper divisors (19408680).

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

9952704 is a wasteful number, since it uses less digits than its factorization.

9952704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9952704 is about 3154.7906428161. The cubic root of 9952704 is about 215.1032783059.

The spelling of 9952704 in words is "nine million, nine hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 467 576 592 666 888 934 1184 1332 1401 1776 1868 2368 2664 2802 3552 3736 4203 5328 5604 7104 7472 8406 10656 11208 14944 16812 17279 21312 22416 29888 33624 34558 44832 51837 67248 69116 89664 103674 134496 138232 155511 207348 268992 276464 311022 414696 552928 622044 829392 1105856 1244088 1658784 2488176 3317568 4976352 9952704