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800922816 = 2634433593
BaseRepresentation
bin101111101111010…
…001110011000000
32001211002002120000
4233233101303000
53120014012231
6211250320000
725563505641
oct5757216300
92054062500
10800922816
11381111191
121a4289000
13c9c16c35
14785296c8
154a4aa6e6
hex2fbd1cc0

800922816 has 140 divisors (see below), whose sum is σ = 2430075912. Its totient is φ = 260692992.

The previous prime is 800922769. The next prime is 800922839. The reversal of 800922816 is 618229008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 221116 + ... + 224708.

Almost surely, 2800922816 is an apocalyptic number.

800922816 is a gapful number since it is divisible by the number (86) 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 800922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215037956).

800922816 is an abundant number, since it is smaller than the sum of its proper divisors (1629153096).

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

800922816 is a wasteful number, since it uses less digits than its factorization.

800922816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 800922816 is about 28300.5797820469. The cubic root of 800922816 is about 928.6745739330.

The spelling of 800922816 in words is "eight hundred million, nine hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 144 162 172 192 216 258 288 324 344 387 432 516 576 648 688 774 864 1032 1161 1296 1376 1548 1728 2064 2322 2592 2752 3096 3483 3593 4128 4644 5184 6192 6966 7186 8256 9288 10779 12384 13932 14372 18576 21558 24768 27864 28744 32337 37152 43116 55728 57488 64674 74304 86232 97011 111456 114976 129348 154499 172464 194022 222912 229952 258696 291033 308998 344928 388044 463497 517392 582066 617996 689856 776088 926994 1034784 1164132 1235992 1390491 1552176 1853988 2069568 2328264 2471984 2780982 3104352 3707976 4171473 4656528 4943968 5561964 6208704 7415952 8342946 9313056 9887936 11123928 12514419 14831904 16685892 18626112 22247856 25028838 29663808 33371784 44495712 50057676 66743568 88991424 100115352 133487136 200230704 266974272 400461408 800922816