Search a number
-
+
745137536 = 27111340709
BaseRepresentation
bin101100011010011…
…110010110000000
31220221002220112112
4230122132112000
53011223400121
6201534514452
724315364433
oct5432362600
91827086475
10745137536
11352679950
12189665a28
13bb4b44b0
1470d6781a
154563b75b
hex2c69e580

745137536 has 64 divisors (see below), whose sum is σ = 1744016400. Its totient is φ = 312637440.

The previous prime is 745137529. The next prime is 745137539. The reversal of 745137536 is 635731547.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 745137493 and 745137502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745137539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2051 + ... + 38658.

Almost surely, 2745137536 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 745137536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872008200).

745137536 is an abundant number, since it is smaller than the sum of its proper divisors (998878864).

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

745137536 is a wasteful number, since it uses less digits than its factorization.

745137536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40747 (or 40735 counting only the distinct ones).

The product of its digits is 264600, while the sum is 41.

The square root of 745137536 is about 27297.2074762236. The cubic root of 745137536 is about 906.5925525731.

The spelling of 745137536 in words is "seven hundred forty-five million, one hundred thirty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4576 9152 18304 40709 81418 162836 325672 447799 529217 651344 895598 1058434 1302688 1791196 2116868 2605376 3582392 4233736 5210752 5821387 7164784 8467472 11642774 14329568 16934944 23285548 28659136 33869888 46571096 57318272 67739776 93142192 186284384 372568768 745137536