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893014056 = 2332116716829
BaseRepresentation
bin110101001110100…
…101000000101000
32022020100210222200
4311032211000220
53312102422211
6224340220200
731062331344
oct6516450050
92266323880
10893014056
114190a0750
1220b09a660
1311301b9ac
148685c624
15535ebb56
hex353a5028

893014056 has 96 divisors (see below), whose sum is σ = 2677989600. Its totient is φ = 266555520.

The previous prime is 893014051. The next prime is 893014061. The reversal of 893014056 is 650410398.

It is an interprime number because it is at equal distance from previous prime (893014051) and next prime (893014061).

It is a super-2 number, since 2×8930140562 = 1594948208427142272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 893014056.

It is not an unprimeable number, because it can be changed into a prime (893014051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44650 + ... + 61478.

It is an arithmetic number, because the mean of its divisors is an integer number (27895725).

Almost surely, 2893014056 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 893014056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338994800).

893014056 is an abundant number, since it is smaller than the sum of its proper divisors (1784975544).

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

893014056 is a wasteful number, since it uses less digits than its factorization.

893014056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16919 (or 16912 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 893014056 is about 29883.3407770952. The cubic root of 893014056 is about 962.9847986912.

The spelling of 893014056 in words is "eight hundred ninety-three million, fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 132 134 198 201 264 268 396 402 536 603 737 792 804 1206 1474 1608 2211 2412 2948 4422 4824 5896 6633 8844 13266 16829 17688 26532 33658 50487 53064 67316 100974 134632 151461 185119 201948 302922 370238 403896 555357 605844 740476 1110714 1127543 1211688 1480952 1666071 2221428 2255086 3332142 3382629 4442856 4510172 6664284 6765258 9020344 10147887 12402973 13328568 13530516 20295774 24805946 27061032 37208919 40591548 49611892 74417838 81183096 99223784 111626757 148835676 223253514 297671352 446507028 893014056