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894161408 = 2972291229
BaseRepresentation
bin110101010010111…
…101001000000000
32022022112002212012
4311102331020000
53312401131113
6224420552052
731105150400
oct6522751000
92268462765
10894161408
11419804778
1220b552628
13113330cba
1486a7a800
1553776aa8
hex354bd200

894161408 has 120 divisors (see below), whose sum is σ = 2151675900. Its totient is φ = 369696768.

The previous prime is 894161377. The next prime is 894161441. The reversal of 894161408 is 804161498.

It can be written as a sum of positive squares in 2 ways, for example, as 790284544 + 103876864 = 28112^2 + 10192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726938 + ... + 728166.

Almost surely, 2894161408 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 894161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075837950).

894161408 is an abundant number, since it is smaller than the sum of its proper divisors (1257514492).

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

894161408 is a wasteful number, since it uses less digits than its factorization.

894161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 894161408 is about 29902.5317991638. The cubic root of 894161408 is about 963.3970391919.

The spelling of 894161408 in words is "eight hundred ninety-four million, one hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 392 406 448 464 512 784 812 896 928 1229 1421 1568 1624 1792 1856 2458 2842 3136 3248 3584 3712 4916 5684 6272 6496 7424 8603 9832 11368 12544 12992 14848 17206 19664 22736 25088 25984 34412 35641 39328 45472 51968 60221 68824 71282 78656 90944 103936 120442 137648 142564 157312 181888 240884 249487 275296 285128 314624 363776 481768 498974 550592 570256 629248 727552 963536 997948 1101184 1140512 1746409 1927072 1995896 2202368 2281024 3492818 3854144 3991792 4404736 4562048 6985636 7708288 7983584 9124096 13971272 15416576 15967168 18248192 27942544 30833152 31934336 55885088 63868672 111770176 127737344 223540352 447080704 894161408