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83425536 = 283236209
BaseRepresentation
bin1001111100011…
…11100100000000
312210222110022200
410332033210000
5132324104121
612140033200
72032051065
oct476174400
9183873280
1083425536
1143100927
1223b32800
131438c62c
14b118c6c
1574cda26
hex4f8f900

83425536 has 54 divisors (see below), whose sum is σ = 240543030. Its totient is φ = 27807744.

The previous prime is 83425493. The next prime is 83425567. The reversal of 83425536 is 63552438.

It is a happy number.

83425536 is a `hidden beast` number, since 83 + 42 + 5 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 24443136 = 7680^2 + 4944^2 .

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 83425536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15801 + ... + 20408.

Almost surely, 283425536 is an apocalyptic number.

It is an amenable number.

83425536 is an abundant number, since it is smaller than the sum of its proper divisors (157117494).

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

83425536 is a wasteful number, since it uses less digits than its factorization.

83425536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36231 (or 36214 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 83425536 is about 9133.7580436532. The cubic root of 83425536 is about 436.9512658887.

The spelling of 83425536 in words is "eighty-three million, four hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 36209 72418 108627 144836 217254 289672 325881 434508 579344 651762 869016 1158688 1303524 1738032 2317376 2607048 3476064 4634752 5214096 6952128 9269504 10428192 13904256 20856384 27808512 41712768 83425536