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382364248 = 23722274297
BaseRepresentation
bin10110110010100…
…110101001011000
3222122111010010211
4112302212221120
51240341123443
6101535220504
712322020400
oct2662465130
9878433124
10382364248
1118691aa12
12a8077734
13612a8346
1438ad3800
152387d19d
hex16ca6a58

382364248 has 48 divisors (see below), whose sum is σ = 837852120. Its totient is φ = 163110528.

The previous prime is 382364233. The next prime is 382364251. The reversal of 382364248 is 842463283.

It is a self number, because there is not a number n which added to its sum of digits gives 382364248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86836 + ... + 91132.

Almost surely, 2382364248 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 382364248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418926060).

382364248 is an abundant number, since it is smaller than the sum of its proper divisors (455487872).

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

382364248 is a wasteful number, since it uses less digits than its factorization.

382364248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4533 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 382364248 is about 19554.1363399154. The cubic root of 382364248 is about 725.8146992222.

The spelling of 382364248 in words is "three hundred eighty-two million, three hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 227 392 454 908 1589 1816 3178 4297 6356 8594 11123 12712 17188 22246 30079 34376 44492 60158 88984 120316 210553 240632 421106 842212 975419 1684424 1950838 3901676 6827933 7803352 13655866 27311732 47795531 54623464 95591062 191182124 382364248