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381966096 = 24337449479
BaseRepresentation
bin10110110001000…
…101011100010000
3222121201212222110
4112301011130100
51240240403341
6101522505320
712315441531
oct2661053420
9877655873
10381966096
11186678866
12a7b05240
1361199055
1438a2c688
1523800216
hex16c45710

381966096 has 80 divisors (see below), whose sum is σ = 1017792000. Its totient is φ = 123346944.

The previous prime is 381966077. The next prime is 381966113. The reversal of 381966096 is 690669183.

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, 797185 + ... + 797663.

It is an arithmetic number, because the mean of its divisors is an integer number (12722400).

Almost surely, 2381966096 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 381966096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896000).

381966096 is an abundant number, since it is smaller than the sum of its proper divisors (635825904).

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

381966096 is a wasteful number, since it uses less digits than its factorization.

381966096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 381966096 is about 19543.9529266727. The cubic root of 381966096 is about 725.5626839085.

The spelling of 381966096 in words is "three hundred eighty-one million, nine hundred sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 449 479 592 888 898 958 1347 1437 1776 1796 1916 2694 2874 3592 3832 5388 5748 7184 7664 10776 11496 16613 17723 21552 22992 33226 35446 49839 53169 66452 70892 99678 106338 132904 141784 199356 212676 215071 265808 283568 398712 425352 430142 645213 797424 850704 860284 1290426 1720568 2580852 3441136 5161704 7957627 10323408 15915254 23872881 31830508 47745762 63661016 95491524 127322032 190983048 381966096