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3856649472 = 283213128761
BaseRepresentation
bin1110010111011111…
…1100110100000000
3100221202222002111100
43211313330310000
530344300240342
61434405214400
7164366660004
oct34567746400
910852862440
103856649472
1116a9a83915
128b7701400
13496010310
142882ba704
151788aae4c
hexe5dfcd00

3856649472 has 108 divisors (see below), whose sum is σ = 11975123524. Its totient is φ = 1186652160.

The previous prime is 3856649443. The next prime is 3856649483. The reversal of 3856649472 is 2749466583.

3856649472 is a `hidden beast` number, since 3 + 8 + 566 + 4 + 9 + 4 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2203739136 + 1652910336 = 46944^2 + 40656^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34429 + ... + 94332.

Almost surely, 23856649472 is an apocalyptic number.

3856649472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3856649472 is an abundant number, since it is smaller than the sum of its proper divisors (8118474052).

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

3856649472 is a wasteful number, since it uses less digits than its factorization.

3856649472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128796 (or 128779 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3856649472 is about 62101.9280860103. The cubic root of 3856649472 is about 1568.2070044628.

The spelling of 3856649472 in words is "three billion, eight hundred fifty-six million, six hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 128761 257522 386283 515044 772566 1030088 1158849 1545132 1673893 2060176 2317698 3090264 3347786 4120352 4635396 5021679 6180528 6695572 8240704 9270792 10043358 12361056 13391144 15065037 16481408 18541584 20086716 24722112 26782288 30130074 32962816 37083168 40173432 49444224 53564576 60260148 74166336 80346864 98888448 107129152 120520296 148332672 160693728 214258304 241040592 296665344 321387456 428516608 482081184 642774912 964162368 1285549824 1928324736 3856649472