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392121392 = 241319313317
BaseRepresentation
bin10111010111110…
…100110000110000
31000022211211102112
4113113310300300
51300340341032
6102524304452
712500656025
oct2727646060
91008754375
10392121392
11191384673
12ab3a2128
13633134c0
143a11354c
15246591b2
hex175f4c30

392121392 has 80 divisors (see below), whose sum is σ = 866715360. Its totient is φ = 170366976.

The previous prime is 392121391. The next prime is 392121403. The reversal of 392121392 is 293121293.

It is not an unprimeable number, because it can be changed into a prime (392121391) 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, 1236818 + ... + 1237134.

It is an arithmetic number, because the mean of its divisors is an integer number (10833942).

Almost surely, 2392121392 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 392121392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433357680).

392121392 is an abundant number, since it is smaller than the sum of its proper divisors (474593968).

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

392121392 is a wasteful number, since it uses less digits than its factorization.

392121392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its digits is 5832, while the sum is 32.

The square root of 392121392 is about 19802.0552468677. The cubic root of 392121392 is about 731.9366802007.

Subtracting from 392121392 its reverse (293121293), we obtain a palindrome (99000099).

It can be divided in two parts, 39212 and 1392, that added together give a palindrome (40604).

The spelling of 392121392 in words is "three hundred ninety-two million, one hundred twenty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 313 317 494 626 634 988 1252 1268 1976 2504 2536 3952 4069 4121 5008 5072 5947 6023 8138 8242 11894 12046 16276 16484 23788 24092 32552 32968 47576 48184 65104 65936 77311 78299 95152 96368 99221 154622 156598 198442 309244 313196 396884 618488 626392 793768 1236976 1252784 1289873 1587536 1885199 2579746 3770398 5159492 7540796 10318984 15081592 20637968 24507587 30163184 49015174 98030348 196060696 392121392