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741891636 = 22312349
BaseRepresentation
bin101100001110000…
…101111000110100
31220201000000000000
4230032011320310
53004411013021
6201341151300
724245655243
oct5416057064
91821000000
10741891636
11350862192
1218855b530
13ba918c45
147076095a
15451e9b26
hex2c385e34

741891636 has 78 divisors (see below), whose sum is σ = 1953044450. Its totient is φ = 246588624.

The previous prime is 741891589. The next prime is 741891637. The reversal of 741891636 is 636198147.

It is a happy number.

741891636 is a `hidden beast` number, since 7 + 4 + 1 + 8 + 9 + 1 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 688747536 + 53144100 = 26244^2 + 7290^2 .

It is a junction number, because it is equal to n+sod(n) for n = 741891591 and 741891600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741891637) by changing a digit.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 2125590 + ... + 2125938.

Almost surely, 2741891636 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 741891636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976522225).

741891636 is an abundant number, since it is smaller than the sum of its proper divisors (1211152814).

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

741891636 is an frugal number, since it uses more digits than its factorization.

741891636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 354 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 741891636 is about 27237.6877873288. The cubic root of 741891636 is about 905.2742312725.

The spelling of 741891636 in words is "seven hundred forty-one million, eight hundred ninety-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 349 486 698 729 972 1047 1396 1458 2094 2187 2916 3141 4188 4374 6282 6561 8748 9423 12564 13122 18846 19683 26244 28269 37692 39366 56538 59049 78732 84807 113076 118098 169614 177147 236196 254421 339228 354294 508842 531441 708588 763263 1017684 1062882 1526526 2125764 2289789 3053052 4579578 6869367 9159156 13738734 20608101 27477468 41216202 61824303 82432404 123648606 185472909 247297212 370945818 741891636