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380893752 = 2336241271
BaseRepresentation
bin10110101100111…
…111101000111000
3222112201102000000
4112230333220320
51240002100002
6101443513000
712303354261
oct2654775070
9875642000
10380893752
11186006128
12a7688760
1360bb1c25
143882d968
152368c61c
hex16b3fa38

380893752 has 112 divisors (see below), whose sum is σ = 1079184480. Its totient is φ = 125971200.

The previous prime is 380893739. The next prime is 380893757. The reversal of 380893752 is 257398083.

It is a junction number, because it is equal to n+sod(n) for n = 380893698 and 380893707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380893757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1405377 + ... + 1405647.

Almost surely, 2380893752 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 380893752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539592240).

380893752 is an abundant number, since it is smaller than the sum of its proper divisors (698290728).

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

380893752 is a wasteful number, since it uses less digits than its factorization.

380893752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 380893752 is about 19516.4994812082. The cubic root of 380893752 is about 724.8830581102.

The spelling of 380893752 in words is "three hundred eighty million, eight hundred ninety-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 241 243 271 324 482 486 542 648 723 729 813 964 972 1084 1446 1458 1626 1928 1944 2168 2169 2439 2892 2916 3252 4338 4878 5784 5832 6504 6507 7317 8676 9756 13014 14634 17352 19512 19521 21951 26028 29268 39042 43902 52056 58536 58563 65311 65853 78084 87804 117126 130622 131706 156168 175608 175689 195933 197559 234252 261244 263412 351378 391866 395118 468504 522488 526824 587799 702756 783732 790236 1175598 1405512 1567464 1580472 1763397 2351196 3526794 4702392 5290191 7053588 10580382 14107176 15870573 21160764 31741146 42321528 47611719 63482292 95223438 126964584 190446876 380893752