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379950 = 235217149
BaseRepresentation
bin1011100110000101110
3201022012020
41130300232
544124300
612051010
73141504
oct1346056
9638166
10379950
1123a50a
12163a66
13103c2c
149c674
15778a0
hex5cc2e

379950 has 48 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 94720.

The previous prime is 379931. The next prime is 379963. The reversal of 379950 is 59973.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2476 + ... + 2624.

It is an arithmetic number, because the mean of its divisors is an integer number (20925).

2379950 is an apocalyptic number.

379950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200).

379950 is an abundant number, since it is smaller than the sum of its proper divisors (624450).

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

379950 is a wasteful number, since it uses less digits than its factorization.

379950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 379950 is about 616.4008436075. The cubic root of 379950 is about 72.4283874721.

The spelling of 379950 in words is "three hundred seventy-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 149 150 170 255 298 425 447 510 745 850 894 1275 1490 2235 2533 2550 3725 4470 5066 7450 7599 11175 12665 15198 22350 25330 37995 63325 75990 126650 189975 379950