Search a number
-
+
83941056 = 2633311567
BaseRepresentation
bin1010000000011…
…01011011000000
312211221122111000
411000031123000
5132442103211
612155052000
72036326053
oct500153300
9184848430
1083941056
1143423181
1224141000
1314510184
14b210a9a
157581656
hex500d6c0

83941056 has 112 divisors (see below), whose sum is σ = 254894080. Its totient is φ = 27060480.

The previous prime is 83941043. The next prime is 83941057. The reversal of 83941056 is 65014938.

It is a super-2 number, since 2×839410562 = 14092201764790272, 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 83941056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83941057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52785 + ... + 54351.

It is an arithmetic number, because the mean of its divisors is an integer number (2275840).

Almost surely, 283941056 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 83941056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127447040).

83941056 is an abundant number, since it is smaller than the sum of its proper divisors (170953024).

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

83941056 is a wasteful number, since it uses less digits than its factorization.

83941056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1603 counting only the distinct ones).

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

The square root of 83941056 is about 9161.9351667647. The cubic root of 83941056 is about 437.8494509803.

The spelling of 83941056 in words is "eighty-three million, nine hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1567 1674 1728 1984 2232 2976 3134 3348 4464 4701 5952 6268 6696 8928 9402 12536 13392 14103 17856 18804 25072 26784 28206 37608 42309 48577 50144 53568 56412 75216 84618 97154 100288 112824 145731 150432 169236 194308 225648 291462 300864 338472 388616 437193 451296 582924 676944 777232 874386 902592 1165848 1311579 1353888 1554464 1748772 2331696 2623158 2707776 3108928 3497544 4663392 5246316 6995088 9326784 10492632 13990176 20985264 27980352 41970528 83941056