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385572460 = 2257132361151
BaseRepresentation
bin10110111110110…
…101111001101100
3222212112002222111
4112332311321230
51242201304320
6102132053404
712361211650
oct2676657154
9885462874
10385572460
11188711329
12a9164264
1361b5c6b0
14392caa60
1523cb3a5a
hex16fb5e6c

385572460 has 192 divisors, whose sum is σ = 1063931904. Its totient is φ = 114048000.

The previous prime is 385572457. The next prime is 385572497. The reversal of 385572460 is 64275583.

It is a super-2 number, since 2×3855724602 = 297332243820903200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2553385 + ... + 2553535.

It is an arithmetic number, because the mean of its divisors is an integer number (5541312).

Almost surely, 2385572460 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 385572460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531965952).

385572460 is an abundant number, since it is smaller than the sum of its proper divisors (678359444).

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

385572460 is a wasteful number, since it uses less digits than its factorization.

385572460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 385572460 is about 19635.9990833163. Note that the first 3 decimals coincide. The cubic root of 385572460 is about 727.8390211828.

The spelling of 385572460 in words is "three hundred eighty-five million, five hundred seventy-two thousand, four hundred sixty".