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379805496 = 233747103467
BaseRepresentation
bin10110101000110…
…101111100111000
3222110200010012020
4112220311330320
51234212233441
6101404314440
712261202440
oct2650657470
9873603166
10379805496
11185432544
12a7242a20
13608c07a5
1438629120
1523524e66
hex16a35f38

379805496 has 128 divisors (see below), whose sum is σ = 1121402880. Its totient is φ = 104950656.

The previous prime is 379805471. The next prime is 379805507. The reversal of 379805496 is 694508973.

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, 813055 + ... + 813521.

It is an arithmetic number, because the mean of its divisors is an integer number (8760960).

Almost surely, 2379805496 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 379805496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560701440).

379805496 is an abundant number, since it is smaller than the sum of its proper divisors (741597384).

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

379805496 is a wasteful number, since it uses less digits than its factorization.

379805496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 379805496 is about 19488.5991287214. The cubic root of 379805496 is about 724.1920422969.

The spelling of 379805496 in words is "three hundred seventy-nine million, eight hundred five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 103 141 168 188 206 282 309 329 376 412 467 564 618 658 721 824 934 987 1128 1236 1316 1401 1442 1868 1974 2163 2472 2632 2802 2884 3269 3736 3948 4326 4841 5604 5768 6538 7896 8652 9682 9807 11208 13076 14523 17304 19364 19614 21949 26152 29046 33887 38728 39228 43898 48101 58092 65847 67774 78456 87796 96202 101661 116184 131694 135548 144303 153643 175592 192404 203322 263388 271096 288606 307286 336707 384808 406644 460929 526776 577212 614572 673414 813288 921858 1010121 1154424 1229144 1346828 1843716 2020242 2260747 2693656 3687432 4040484 4521494 6782241 8080968 9042988 13564482 15825229 18085976 27128964 31650458 47475687 54257928 63300916 94951374 126601832 189902748 379805496