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385665476 = 227283151157
BaseRepresentation
bin10110111111001…
…100100111000100
3222212200211120112
4112333030213010
51242212243401
6102134052152
712362050100
oct2677144704
9885624515
10385665476
111887751a9
12a91aa058
1361b92b31
1439312900
1523cd13bb
hex16fcc9c4

385665476 has 72 divisors (see below), whose sum is σ = 804920256. Its totient is φ = 161179200.

The previous prime is 385665463. The next prime is 385665479. The reversal of 385665476 is 674566583.

Its product of digits (3628800) is a multiple of the sum of its prime divisors (400).

It is not an unprimeable number, because it can be changed into a prime (385665479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2456390 + ... + 2456546.

It is an arithmetic number, because the mean of its divisors is an integer number (11179448).

Almost surely, 2385665476 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 385665476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402460128).

385665476 is an abundant number, since it is smaller than the sum of its proper divisors (419254780).

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

385665476 is a wasteful number, since it uses less digits than its factorization.

385665476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 50.

The square root of 385665476 is about 19638.3674474229. The cubic root of 385665476 is about 727.8975447532.

The spelling of 385665476 in words is "three hundred eighty-five million, six hundred sixty-five thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 83 98 151 157 166 196 302 314 332 581 604 628 1057 1099 1162 2114 2198 2324 4067 4228 4396 7399 7693 8134 12533 13031 14798 15386 16268 23707 25066 26062 29596 30772 47414 50132 52124 87731 91217 94828 165949 175462 182434 331898 350924 364868 614117 638519 663796 1161643 1228234 1277038 1967681 2323286 2456468 2554076 3935362 4646572 7870724 13773767 27547534 55095068 96416369 192832738 385665476