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894967056 = 24362772
BaseRepresentation
bin110101010110000…
…001110100010000
32022101001001000000
4311112001310100
53313102421211
6224450130000
731115044254
oct6526016420
92271031000
10894967056
1141a204aa5
1220b880900
13113553909
1486c0a264
1553885656
hex35581d10

894967056 has 105 divisors (see below), whose sum is σ = 2609228181. Its totient is φ = 297245376.

The previous prime is 894967049. The next prime is 894967061. The reversal of 894967056 is 650769498.

The square root of 894967056 is 29916.

It is a perfect power (a square), and thus also a powerful number.

894967056 is a `hidden beast` number, since 89 + 496 + 70 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154256400 + 740710656 = 12420^2 + 27216^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 894966993 and 894967011.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3230790 + ... + 3231066.

Almost surely, 2894967056 is an apocalyptic number.

894967056 is the 29916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 894967056

894967056 is an abundant number, since it is smaller than the sum of its proper divisors (1714261125).

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

894967056 is an frugal number, since it uses more digits than its factorization.

894967056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The cubic root of 894967056 is about 963.6862956575.

The spelling of 894967056 in words is "eight hundred ninety-four million, nine hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 277 324 432 486 554 648 729 831 972 1108 1296 1458 1662 1944 2216 2493 2916 3324 3888 4432 4986 5832 6648 7479 9972 11664 13296 14958 19944 22437 29916 39888 44874 59832 67311 76729 89748 119664 134622 153458 179496 201933 230187 269244 306916 358992 403866 460374 538488 613832 690561 807732 920748 1076976 1227664 1381122 1615464 1841496 2071683 2762244 3230928 3682992 4143366 5524488 6215049 8286732 11048976 12430098 16573464 18645147 24860196 33146928 37290294 49720392 55935441 74580588 99440784 111870882 149161176 223741764 298322352 447483528 894967056