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386023872 = 26313295333
BaseRepresentation
bin10111000000100…
…100000111000000
3222220101001012110
4113000210013000
51242310230442
6102145455320
712365102013
oct2700440700
9886331173
10386023872
1118899a4a3
12a9341540
1361c89cc0
14393a737a
1523d5269c
hex170241c0

386023872 has 112 divisors (see below), whose sum is σ = 1138062240. Its totient is φ = 114659328.

The previous prime is 386023871. The next prime is 386023889. The reversal of 386023872 is 278320683.

It is a happy number.

386023872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 386023872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386023871) 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, 69718 + ... + 75050.

It is an arithmetic number, because the mean of its divisors is an integer number (10161270).

Almost surely, 2386023872 is an apocalyptic number.

386023872 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 386023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569031120).

386023872 is an abundant number, since it is smaller than the sum of its proper divisors (752038368).

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

386023872 is a wasteful number, since it uses less digits than its factorization.

386023872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 386023872 is about 19647.4902213998. The cubic root of 386023872 is about 728.1229514995.

The spelling of 386023872 in words is "three hundred eighty-six million, twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 928 1131 1248 1392 1508 1856 2262 2496 2784 3016 4524 5333 5568 6032 9048 10666 12064 15999 18096 21332 24128 31998 36192 42664 63996 69329 72384 85328 127992 138658 154657 170656 207987 255984 277316 309314 341312 415974 463971 511968 554632 618628 831948 927942 1023936 1109264 1237256 1663896 1855884 2010541 2218528 2474512 3327792 3711768 4021082 4437056 4949024 6031623 6655584 7423536 8042164 9898048 12063246 13311168 14847072 16084328 24126492 29694144 32168656 48252984 64337312 96505968 128674624 193011936 386023872