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380959392 = 253111721221
BaseRepresentation
bin10110101101001…
…111101010100000
3222112211202001010
4112231033222200
51240011200032
6101445140520
712304046532
oct2655175240
9875752033
10380959392
11186050480
12a76ba740
1360c05a78
1438849852
15236a1ccc
hex16b4faa0

380959392 has 96 divisors (see below), whose sum is σ = 1155155904. Its totient is φ = 108646400.

The previous prime is 380959391. The next prime is 380959417. The reversal of 380959392 is 293959083.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (380959391) 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, 7342 + ... + 28562.

It is an arithmetic number, because the mean of its divisors is an integer number (12032874).

Almost surely, 2380959392 is an apocalyptic number.

380959392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380959392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577577952).

380959392 is an abundant number, since it is smaller than the sum of its proper divisors (774196512).

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

380959392 is a wasteful number, since it uses less digits than its factorization.

380959392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21262 (or 21254 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 380959392 is about 19518.1810627937. The cubic root of 380959392 is about 724.9246957854.

The spelling of 380959392 in words is "three hundred eighty million, nine hundred fifty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 21221 42442 63663 84884 127326 169768 233431 254652 339536 360757 466862 509304 679072 700293 721514 933724 1018608 1082271 1400586 1443028 1867448 2037216 2164542 2801172 2886056 3734896 3968327 4329084 5602344 5772112 7469792 7936654 8658168 11204688 11544224 11904981 15873308 17316336 22409376 23809962 31746616 34632672 47619924 63493232 95239848 126986464 190479696 380959392