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939252992 = 28171937307
BaseRepresentation
bin110111111110111…
…101110100000000
32102110100222212212
4313332331310000
53410422043432
6233111241252
732163342626
oct6776756400
92373328785
10939252992
11442202747
12222679228
1311c78b202
148ca57516
15576d22b2
hex37fbdd00

939252992 has 144 divisors (see below), whose sum is σ = 2153067840. Its totient is φ = 406093824.

The previous prime is 939252989. The next prime is 939252997. The reversal of 939252992 is 299252939.

It is a self number, because there is not a number n which added to its sum of digits gives 939252992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (939252997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3059303 + ... + 3059609.

It is an arithmetic number, because the mean of its divisors is an integer number (14951860).

Almost surely, 2939252992 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 939252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076533920).

939252992 is an abundant number, since it is smaller than the sum of its proper divisors (1213814848).

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

939252992 is a wasteful number, since it uses less digits than its factorization.

939252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its digits is 787320, while the sum is 50.

The square root of 939252992 is about 30647.2346550223. The cubic root of 939252992 is about 979.3265510610.

The spelling of 939252992 in words is "nine hundred thirty-nine million, two hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 19 32 34 37 38 64 68 74 76 128 136 148 152 256 272 296 304 307 323 544 592 608 614 629 646 703 1088 1184 1216 1228 1258 1292 1406 2176 2368 2432 2456 2516 2584 2812 4352 4736 4864 4912 5032 5168 5219 5624 5833 9472 9824 10064 10336 10438 11248 11359 11666 11951 19648 20128 20672 20876 22496 22718 23332 23902 39296 40256 41344 41752 44992 45436 46664 47804 78592 80512 82688 83504 89984 90872 93328 95608 99161 161024 167008 179968 181744 186656 191216 193103 198322 215821 334016 363488 373312 382432 386206 396644 431642 668032 726976 746624 764864 772412 793288 863284 1336064 1453952 1493248 1529728 1544824 1586576 1726568 2907904 3059456 3089648 3173152 3453136 3668957 6179296 6346304 6906272 7337914 12358592 12692608 13812544 14675828 24717184 25385216 27625088 29351656 49434368 55250176 58703312 117406624 234813248 469626496 939252992