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84994056 = 2333767839
BaseRepresentation
bin1010001000011…
…10100000001000
312220221010221000
411010032200020
5133224302211
612233415000
72051303040
oct504164010
9186833830
1084994056
1143a82324
122456a460
13147bb554
14b406720
1576dd656
hex510e808

84994056 has 128 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 23893056.

The previous prime is 84994051. The next prime is 84994073. The reversal of 84994056 is 65049948.

It is a happy number.

It is a super-4 number, since 4×849940564 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (84994051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100885 + ... + 101723.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 284994056 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 84994056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

84994056 is an abundant number, since it is smaller than the sum of its proper divisors (189181944).

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

84994056 is a wasteful number, since it uses less digits than its factorization.

84994056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 84994056 is about 9219.2220929968. Note that the first 3 decimals coincide. The cubic root of 84994056 is about 439.6727180532.

The spelling of 84994056 in words is "eighty-four million, nine hundred ninety-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 84 108 126 134 168 189 201 216 252 268 378 402 469 504 536 603 756 804 839 938 1206 1407 1512 1608 1678 1809 1876 2412 2517 2814 3356 3618 3752 4221 4824 5034 5628 5873 6712 7236 7551 8442 10068 11256 11746 12663 14472 15102 16884 17619 20136 22653 23492 25326 30204 33768 35238 45306 46984 50652 52857 56213 60408 70476 90612 101304 105714 112426 140952 158571 168639 181224 211428 224852 317142 337278 393491 422856 449704 505917 634284 674556 786982 1011834 1180473 1268568 1349112 1517751 1573964 2023668 2360946 3035502 3147928 3541419 4047336 4721892 6071004 7082838 9443784 10624257 12142008 14165676 21248514 28331352 42497028 84994056