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385508004 = 223717925639
BaseRepresentation
bin10110111110100…
…110001010100100
3222212101211120020
4112332212022210
51242142224004
6102130435140
712360523020
oct2676461244
9885354506
10385508004
11188677962
12a9132ab0
1361b3925b
14392b1380
1523c9e8d9
hex16fa62a4

385508004 has 48 divisors (see below), whose sum is σ = 1033804800. Its totient is φ = 109525536.

The previous prime is 385507981. The next prime is 385508009. The reversal of 385508004 is 400805583.

It is a happy number.

It is a super-2 number, since 2×3855080042 = 297232842296128032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (385508009) 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, 2217 + ... + 27855.

It is an arithmetic number, because the mean of its divisors is an integer number (21537600).

Almost surely, 2385508004 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 385508004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516902400).

385508004 is an abundant number, since it is smaller than the sum of its proper divisors (648296796).

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

385508004 is a wasteful number, since it uses less digits than its factorization.

385508004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25832 (or 25830 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 385508004 is about 19634.3577435067. The cubic root of 385508004 is about 727.7984613994.

The spelling of 385508004 in words is "three hundred eighty-five million, five hundred eight thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 179 358 537 716 1074 1253 2148 2506 3759 5012 7518 15036 25639 51278 76917 102556 153834 179473 307668 358946 538419 717892 1076838 2153676 4589381 9178762 13768143 18357524 27536286 32125667 55072572 64251334 96377001 128502668 192754002 385508004