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385847328 = 25331317409
BaseRepresentation
bin10110111111111…
…001000000100000
3222220001002000210
4112333321000200
51242234103303
6102142014120
712363435216
oct2677710040
9886032023
10385847328
11188889899
12a9277340
1361c27839
143935ccb6
1523d1a203
hex16ff9020

385847328 has 96 divisors (see below), whose sum is σ = 1051384320. Its totient is φ = 123770880.

The previous prime is 385847309. The next prime is 385847339. The reversal of 385847328 is 823748583.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943188 + ... + 943596.

It is an arithmetic number, because the mean of its divisors is an integer number (10951920).

Almost surely, 2385847328 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 385847328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525692160).

385847328 is an abundant number, since it is smaller than the sum of its proper divisors (665536992).

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

385847328 is a wasteful number, since it uses less digits than its factorization.

385847328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 385847328 is about 19642.9969200222. The cubic root of 385847328 is about 728.0119347558.

The spelling of 385847328 in words is "three hundred eighty-five million, eight hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 317 372 409 496 634 744 818 951 992 1227 1268 1488 1636 1902 2454 2536 2976 3272 3804 4908 5072 6544 7608 9816 9827 10144 12679 13088 15216 19632 19654 25358 29481 30432 38037 39264 39308 50716 58962 76074 78616 101432 117924 129653 152148 157232 202864 235848 259306 304296 314464 388959 405728 471696 518612 608592 777918 943392 1037224 1217184 1555836 2074448 3111672 4019243 4148896 6223344 8038486 12057729 12446688 16076972 24115458 32153944 48230916 64307888 96461832 128615776 192923664 385847328