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385715616 = 253111328097
BaseRepresentation
bin10110111111011…
…000110110100000
3222212210101100120
4112333120312200
51242220344431
6102135120240
712362346216
oct2677306640
9885711316
10385715616
111887a9940
12a9213080
1361bac8c0
1439326cb6
1523ce1196
hex16fd8da0

385715616 has 96 divisors (see below), whose sum is σ = 1189556928. Its totient is φ = 107888640.

The previous prime is 385715611. The next prime is 385715651. The reversal of 385715616 is 616517583.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (385715611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321 + ... + 27776.

It is an arithmetic number, because the mean of its divisors is an integer number (12391218).

Almost surely, 2385715616 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 385715616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594778464).

385715616 is an abundant number, since it is smaller than the sum of its proper divisors (803841312).

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

385715616 is a wasteful number, since it uses less digits than its factorization.

385715616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28134 (or 28126 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 385715616 is about 19639.6439886267. The cubic root of 385715616 is about 727.9290878077.

The spelling of 385715616 in words is "three hundred eighty-five million, seven hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 28097 56194 84291 112388 168582 224776 309067 337164 365261 449552 618134 674328 730522 899104 927201 1095783 1236268 1348656 1461044 1854402 2191566 2472536 2697312 2922088 3708804 4017871 4383132 4945072 5844176 7417608 8035742 8766264 9890144 11688352 12053613 14835216 16071484 17532528 24107226 29670432 32142968 35065056 48214452 64285936 96428904 128571872 192857808 385715616