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382755640 = 23539724103
BaseRepresentation
bin10110110100000…
…110001100111000
3222200020000000211
4112310012030320
51240441140030
6101551440504
712325240441
oct2664061470
9880200024
10382755640
11187067a83
12a8226134
13613b4537
1438b962c8
152390912a
hex16d06338

382755640 has 32 divisors (see below), whose sum is σ = 863405280. Its totient is φ = 152710272.

The previous prime is 382755617. The next prime is 382755643. The reversal of 382755640 is 46557283.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 382755593 and 382755602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382755643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3829 + ... + 27931.

It is an arithmetic number, because the mean of its divisors is an integer number (26981415).

Almost surely, 2382755640 is an apocalyptic number.

It is an amenable number.

382755640 is an abundant number, since it is smaller than the sum of its proper divisors (480649640).

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

382755640 is a wasteful number, since it uses less digits than its factorization.

382755640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24511 (or 24507 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 382755640 is about 19564.1416883031. The cubic root of 382755640 is about 726.0622652494.

The spelling of 382755640 in words is "three hundred eighty-two million, seven hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 397 794 1588 1985 3176 3970 7940 15880 24103 48206 96412 120515 192824 241030 482060 964120 9568891 19137782 38275564 47844455 76551128 95688910 191377820 382755640