Search a number
-
+
74786328 = 2334131881
BaseRepresentation
bin1000111010100…
…10011000011000
312012201112120000
410131102120120
5123121130303
611230533000
71565446641
oct435223030
9165645500
1074786328
1139240091
1221067160
1312656286
149d0a6c8
156873da3
hex4752618

74786328 has 80 divisors (see below), whose sum is σ = 211309560. Its totient is φ = 24710400.

The previous prime is 74786311. The next prime is 74786329. The reversal of 74786328 is 82368747.

It is a happy number.

74786328 is a `hidden beast` number, since 7 + 4 + 7 + 8 + 632 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74786329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84448 + ... + 85328.

Almost surely, 274786328 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 74786328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105654780).

74786328 is an abundant number, since it is smaller than the sum of its proper divisors (136523232).

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

74786328 is a wasteful number, since it uses less digits than its factorization.

74786328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 74786328 is about 8647.9088801860. The cubic root of 74786328 is about 421.3154674055.

The spelling of 74786328 in words is "seventy-four million, seven hundred eighty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 262 324 393 524 648 786 881 1048 1179 1572 1762 2358 2643 3144 3524 3537 4716 5286 7048 7074 7929 9432 10572 10611 14148 15858 21144 21222 23787 28296 31716 42444 47574 63432 71361 84888 95148 115411 142722 190296 230822 285444 346233 461644 570888 692466 923288 1038699 1384932 2077398 2769864 3116097 4154796 6232194 8309592 9348291 12464388 18696582 24928776 37393164 74786328