Search a number
-
+
83325004 = 22729891153
BaseRepresentation
bin1001111011101…
…11000001001100
312210210100102021
410331313001030
5132312400004
612133535524
72031152020
oct475670114
9183710367
1083325004
1143042344
1223aa45a4
1314355949
14b0d0380
1574add54
hex4f7704c

83325004 has 48 divisors (see below), whose sum is σ = 174484800. Its totient is φ = 34062336.

The previous prime is 83325001. The next prime is 83325017. The reversal of 83325004 is 40052338.

It is a self number, because there is not a number n which added to its sum of digits gives 83325004.

It is not an unprimeable number, because it can be changed into a prime (83325001) 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, 71692 + ... + 72844.

It is an arithmetic number, because the mean of its divisors is an integer number (3635100).

Almost surely, 283325004 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 83325004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87242400).

83325004 is an abundant number, since it is smaller than the sum of its proper divisors (91159796).

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

83325004 is a wasteful number, since it uses less digits than its factorization.

83325004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 83325004 is about 9128.2530639767. The cubic root of 83325004 is about 436.7756791975.

The spelling of 83325004 in words is "eighty-three million, three hundred twenty-five thousand, four".

Divisors: 1 2 4 7 14 28 29 58 89 116 178 203 356 406 623 812 1153 1246 2306 2492 2581 4612 5162 8071 10324 16142 18067 32284 33437 36134 66874 72268 102617 133748 205234 234059 410468 468118 718319 936236 1436638 2873276 2975893 5951786 11903572 20831251 41662502 83325004