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380521752 = 233132234079
BaseRepresentation
bin10110101011100…
…100110100011000
3222112000111201020
4112223210310120
51234403144002
6101431522440
712300244602
oct2653446430
9875014636
10380521752
11185881696
12a7529420
1360ab1800
1438774172
15236172bc
hex16ae4d18

380521752 has 96 divisors (see below), whose sum is σ = 1075161600. Its totient is φ = 111965568.

The previous prime is 380521741. The next prime is 380521787. The reversal of 380521752 is 257125083.

380521752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91249 + ... + 95327.

It is an arithmetic number, because the mean of its divisors is an integer number (11199600).

Almost surely, 2380521752 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 380521752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537580800).

380521752 is an abundant number, since it is smaller than the sum of its proper divisors (694639848).

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

380521752 is a wasteful number, since it uses less digits than its factorization.

380521752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 380521752 is about 19506.9667554953. The cubic root of 380521752 is about 724.6469954895.

The spelling of 380521752 in words is "three hundred eighty million, five hundred twenty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 169 184 276 299 312 338 507 552 598 676 897 1014 1196 1352 1794 2028 2392 3588 3887 4056 4079 7176 7774 8158 11661 12237 15548 16316 23322 24474 31096 32632 46644 48948 53027 93288 93817 97896 106054 159081 187634 212108 281451 318162 375268 424216 562902 636324 689351 750536 1125804 1219621 1272648 1378702 2068053 2251608 2439242 2757404 3658863 4136106 4878484 5514808 7317726 8272212 9756968 14635452 15855073 16544424 29270904 31710146 47565219 63420292 95130438 126840584 190260876 380521752