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390237248 = 26792977
BaseRepresentation
bin10111010000101…
…000110001000000
31000012022002212102
4113100220301000
51244400042443
6102420045532
712445650632
oct2720506100
91005262772
10390237248
11190308025
12aa8338a8
1362b03a1b
1439b82a52
15243d5cb8
hex17428c40

390237248 has 42 divisors (see below), whose sum is σ = 785106126. Its totient is φ = 192451584.

The previous prime is 390237223. The next prime is 390237277. The reversal of 390237248 is 842732093.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 383846464 + 6390784 = 19592^2 + 2528^2 .

It is a super-2 number, since 2×3902372482 = 304570219453227008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 398936 + ... + 399912.

It is an arithmetic number, because the mean of its divisors is an integer number (18693003).

Almost surely, 2390237248 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 390237248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392553063).

390237248 is an abundant number, since it is smaller than the sum of its proper divisors (394868878).

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

390237248 is an frugal number, since it uses more digits than its factorization.

390237248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 390237248 is about 19754.4235046230. The cubic root of 390237248 is about 730.7624784818.

The spelling of 390237248 in words is "three hundred ninety million, two hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 977 1264 1954 2528 3908 5056 6241 7816 12482 15632 24964 31264 49928 62528 77183 99856 154366 199712 308732 399424 617464 1234928 2469856 4939712 6097457 12194914 24389828 48779656 97559312 195118624 390237248