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385627392 = 28356199
BaseRepresentation
bin10110111111000…
…011010100000000
3222212121220100000
4112333003110000
51242210034032
6102133200000
712361531053
oct2677032400
9885556300
10385627392
11188749627
12a9190000
1361b7b6b7
1439302a9a
1523cc4e7c
hex16fc3500

385627392 has 108 divisors (see below), whose sum is σ = 1153224800. Its totient is φ = 128521728.

The previous prime is 385627367. The next prime is 385627399. The reversal of 385627392 is 293726583.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385627399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59109 + ... + 65307.

Almost surely, 2385627392 is an apocalyptic number.

385627392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385627392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576612400).

385627392 is an abundant number, since it is smaller than the sum of its proper divisors (767597408).

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

385627392 is an frugal number, since it uses more digits than its factorization.

385627392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6230 (or 6204 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 385627392 is about 19637.3977909498. The cubic root of 385627392 is about 727.8735842967.

It can be divided in two parts, 38562 and 7392, that added together give a palindrome (45954).

The spelling of 385627392 in words is "three hundred eighty-five million, six hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6199 6912 7776 10368 12398 15552 18597 20736 24796 31104 37194 49592 55791 62208 74388 99184 111582 148776 167373 198368 223164 297552 334746 396736 446328 502119 595104 669492 793472 892656 1004238 1190208 1338984 1506357 1586944 1785312 2008476 2380416 2677968 3012714 3570624 4016952 4760832 5355936 6025428 7141248 8033904 10711872 12050856 14282496 16067808 21423744 24101712 32135616 42847488 48203424 64271232 96406848 128542464 192813696 385627392