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238030848 = 2123211587
BaseRepresentation
bin11100011000000…
…01000000000000
3121120220012221100
432030001000000
5441413441343
635341454400
75620141326
oct1614010000
9546805840
10238030848
111123a9110
1267871400
133a411773
1423881d16
1515d6c9d3
hexe301000

238030848 has 156 divisors (see below), whose sum is σ = 751344048. Its totient is φ = 72007680.

The previous prime is 238030847. The next prime is 238030861. The reversal of 238030848 is 848030832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (238030847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405211 + ... + 405797.

It is an arithmetic number, because the mean of its divisors is an integer number (4816308).

Almost surely, 2238030848 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 238030848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375672024).

238030848 is an abundant number, since it is smaller than the sum of its proper divisors (513313200).

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

238030848 is a wasteful number, since it uses less digits than its factorization.

238030848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 238030848 is about 15428.2483775703. The cubic root of 238030848 is about 619.7422168020.

The spelling of 238030848 in words is "two hundred thirty-eight million, thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 587 704 768 792 1024 1056 1152 1174 1408 1536 1584 1761 2048 2112 2304 2348 2816 3072 3168 3522 4096 4224 4608 4696 5283 5632 6144 6336 6457 7044 8448 9216 9392 10566 11264 12288 12672 12914 14088 16896 18432 18784 19371 21132 22528 25344 25828 28176 33792 36864 37568 38742 42264 45056 50688 51656 56352 58113 67584 75136 77484 84528 101376 103312 112704 116226 135168 150272 154968 169056 202752 206624 225408 232452 300544 309936 338112 405504 413248 450816 464904 601088 619872 676224 826496 901632 929808 1202176 1239744 1352448 1652992 1803264 1859616 2404352 2479488 2704896 3305984 3606528 3719232 4958976 5409792 6611968 7213056 7438464 9917952 10819584 13223936 14876928 19835904 21639168 26447872 29753856 39671808 59507712 79343616 119015424 238030848