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380989752 = 2331113313581
BaseRepresentation
bin10110101101010…
…111000100111000
3222112220021200120
4112231113010320
51240013133002
6101445533240
712304234203
oct2655270470
9875807616
10380989752
11186071270
12a7714220
1360c16830
143885693a
15236aacbc
hex16b57138

380989752 has 128 divisors (see below), whose sum is σ = 1155409920. Its totient is φ = 103104000.

The previous prime is 380989747. The next prime is 380989781. The reversal of 380989752 is 257989083.

It is a super-2 number, since 2×3809897522 = 290306382258043008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380989695 and 380989704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104602 + ... + 108182.

It is an arithmetic number, because the mean of its divisors is an integer number (9026640).

Almost surely, 2380989752 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 380989752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577704960).

380989752 is an abundant number, since it is smaller than the sum of its proper divisors (774420168).

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

380989752 is a wasteful number, since it uses less digits than its factorization.

380989752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 380989752 is about 19518.9587837057. The cubic root of 380989752 is about 724.9439525440.

The spelling of 380989752 in words is "three hundred eighty million, nine hundred eighty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 858 1023 1144 1209 1364 1612 1716 2046 2418 2728 3224 3432 3581 4092 4433 4836 7162 8184 8866 9672 10743 13299 14324 17732 21486 26598 28648 35464 39391 42972 46553 53196 78782 85944 93106 106392 111011 118173 139659 157564 186212 222022 236346 279318 315128 333033 372424 444044 472692 512083 558636 666066 888088 945384 1024166 1117272 1221121 1332132 1443143 1536249 2048332 2442242 2664264 2886286 3072498 3663363 4096664 4329429 4884484 5772572 6144996 7326726 8658858 9768968 11545144 12289992 14653452 15874573 17317716 29306904 31749146 34635432 47623719 63498292 95247438 126996584 190494876 380989752