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385533936 = 24322677319
BaseRepresentation
bin10110111110101…
…100011111110000
3222212110011010200
4112332230133300
51242144041221
6102131155200
712360661434
oct2676543760
9885404120
10385533936
11188695397
12a9145b00
1361b47cb8
14392ba9c4
1523ca7426
hex16fac7f0

385533936 has 30 divisors (see below), whose sum is σ = 1078959960. Its totient is φ = 128511264.

The previous prime is 385533931. The next prime is 385533943. The reversal of 385533936 is 639335583.

385533936 is a `hidden beast` number, since 3 + 8 + 553 + 3 + 93 + 6 = 666.

385533936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 385533891 and 385533900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385533931) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1338516 + ... + 1338803.

It is an arithmetic number, because the mean of its divisors is an integer number (35965332).

Almost surely, 2385533936 is an apocalyptic number.

385533936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385533936 is an abundant number, since it is smaller than the sum of its proper divisors (693426024).

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

385533936 is a wasteful number, since it uses less digits than its factorization.

385533936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677333 (or 2677324 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The square root of 385533936 is about 19635.0181054156. The cubic root of 385533936 is about 727.8147799940.

The spelling of 385533936 in words is "three hundred eighty-five million, five hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2677319 5354638 8031957 10709276 16063914 21418552 24095871 32127828 42837104 48191742 64255656 96383484 128511312 192766968 385533936