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379656192 = 2113611013
BaseRepresentation
bin10110101000010…
…001100000000000
3222110101112101110
4112220101200000
51234142444232
6101401203320
712260011236
oct2650214000
9873345343
10379656192
11185340353
12a7190540
136086a846
14385ca956
15234e5acc
hex16a11800

379656192 has 96 divisors (see below), whose sum is σ = 1029777840. Its totient is φ = 124354560.

The previous prime is 379656161. The next prime is 379656247. The reversal of 379656192 is 291656973.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374278 + ... + 375290.

Almost surely, 2379656192 is an apocalyptic number.

379656192 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 379656192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514888920).

379656192 is an abundant number, since it is smaller than the sum of its proper divisors (650121648).

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

379656192 is a wasteful number, since it uses less digits than its factorization.

379656192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1079 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The square root of 379656192 is about 19484.7682049338. The cubic root of 379656192 is about 724.0971349991.

The spelling of 379656192 in words is "three hundred seventy-nine million, six hundred fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1013 1024 1464 1536 1952 2026 2048 2928 3039 3072 3904 4052 5856 6078 6144 7808 8104 11712 12156 15616 16208 23424 24312 31232 32416 46848 48624 61793 62464 64832 93696 97248 123586 124928 129664 185379 187392 194496 247172 259328 370758 374784 388992 494344 518656 741516 777984 988688 1037312 1483032 1555968 1977376 2074624 2966064 3111936 3954752 5932128 6223872 7909504 11864256 15819008 23728512 31638016 47457024 63276032 94914048 126552064 189828096 379656192