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952728084 = 22327113111087
BaseRepresentation
bin111000110010010…
…111101000010100
32110101201121020100
4320302113220110
53422344244314
6234312134100
732416024620
oct7062275024
92411647210
10952728084
11449876790
12227097330
131224c8739
1490764180
1558994c09
hex38c97a14

952728084 has 144 divisors (see below), whose sum is σ = 3099672576. Its totient is φ = 239457600.

The previous prime is 952728031. The next prime is 952728109. The reversal of 952728084 is 480827259.

It is a super-2 number, since 2×9527280842 = 1815381604084622112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80389 + ... + 91475.

It is an arithmetic number, because the mean of its divisors is an integer number (21525504).

Almost surely, 2952728084 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 952728084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549836288).

952728084 is an abundant number, since it is smaller than the sum of its proper divisors (2146944492).

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

952728084 is a wasteful number, since it uses less digits than its factorization.

952728084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11146 (or 11141 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 952728084 is about 30866.2936550536. The cubic root of 952728084 is about 983.9876683959.

The spelling of 952728084 in words is "nine hundred fifty-two million, seven hundred twenty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 6138 7161 7812 9548 11087 12276 14322 21483 22174 28644 33261 42966 44348 66522 77609 85932 99783 121957 133044 155218 199566 232827 243914 310436 343697 365871 399132 465654 487828 687394 698481 731742 853699 931308 1031091 1097613 1374788 1396962 1463484 1707398 2062182 2195226 2405879 2561097 2793924 3093273 3414796 3780667 4124364 4390452 4811758 5122194 6186546 7217637 7561334 7683291 9623516 10244388 11342001 12373092 14435274 15122668 15366582 21652911 22684002 26464669 28870548 30733164 34026003 43305822 45368004 52929338 68052006 79394007 86611644 105858676 136104012 158788014 238182021 317576028 476364042 952728084