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382068820 = 225711324151
BaseRepresentation
bin10110110001011…
…110100001010100
3222121221002220001
4112301132201110
51240302200240
6101525021044
712316350160
oct2661364124
9877832801
10382068820
11186738a61
12a7b54784
1361203a33
1438a57ca0
152382089a
hex16c5e854

382068820 has 48 divisors (see below), whose sum is σ = 925118208. Its totient is φ = 129830400.

The previous prime is 382068811. The next prime is 382068833. The reversal of 382068820 is 28860283.

It is a self number, because there is not a number n which added to its sum of digits gives 382068820.

It is a congruent number.

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, 3745 + ... + 27895.

It is an arithmetic number, because the mean of its divisors is an integer number (19273296).

Almost surely, 2382068820 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 382068820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462559104).

382068820 is an abundant number, since it is smaller than the sum of its proper divisors (543049388).

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

382068820 is a wasteful number, since it uses less digits than its factorization.

382068820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24280 (or 24278 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 382068820 is about 19546.5807751637. The cubic root of 382068820 is about 725.6277211124.

The spelling of 382068820 in words is "three hundred eighty-two million, sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 791 1130 1582 2260 3164 3955 7910 15820 24151 48302 96604 120755 169057 241510 338114 483020 676228 845285 1690570 2729063 3381140 5458126 10916252 13645315 19103441 27290630 38206882 54581260 76413764 95517205 191034410 382068820