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868916736 = 29321011867
BaseRepresentation
bin110011110010101…
…001111000000000
32020120000112200100
4303302221320000
53234420313421
6222115522400
730350445642
oct6362517000
92216015610
10868916736
11406532006
12202bb9400
1310b03261c
1483588892
155143bc26
hex33ca9e00

868916736 has 120 divisors (see below), whose sum is σ = 2533938264. Its totient is φ = 286617600.

The previous prime is 868916707. The next prime is 868916771. The reversal of 868916736 is 637619868.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 464475 + ... + 466341.

Almost surely, 2868916736 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 868916736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266969132).

868916736 is an abundant number, since it is smaller than the sum of its proper divisors (1665021528).

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

868916736 is a wasteful number, since it uses less digits than its factorization.

868916736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1973 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 868916736 is about 29477.3936432650. The cubic root of 868916736 is about 954.2438889653.

It can be divided in two parts, 8689 and 16736, that added together give a triangular number (25425 = T225).

The spelling of 868916736 in words is "eight hundred sixty-eight million, nine hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1152 1212 1536 1616 1818 1867 2304 2424 3232 3636 3734 4608 4848 5601 6464 7272 7468 9696 11202 12928 14544 14936 16803 19392 22404 25856 29088 29872 33606 38784 44808 51712 58176 59744 67212 77568 89616 116352 119488 134424 155136 179232 188567 232704 238976 268848 358464 377134 465408 477952 537696 565701 716928 754268 955904 1075392 1131402 1433856 1508536 1697103 2150784 2262804 2867712 3017072 3394206 4301568 4525608 6034144 6788412 8603136 9051216 12068288 13576824 18102432 24136576 27153648 36204864 48273152 54307296 72409728 96546304 108614592 144819456 217229184 289638912 434458368 868916736