Search a number
-
+
745737072 = 24337835059
BaseRepresentation
bin101100011100110…
…000101101110000
31220222020100221120
4230130300231300
53011402041242
6201555422240
724323442363
oct5434605560
91828210846
10745737072
11352a49333
121898b4980
13bb664352
14710820da
15457091ec
hex2c730b70

745737072 has 80 divisors (see below), whose sum is σ = 2002788480. Its totient is φ = 238899456.

The previous prime is 745737071. The next prime is 745737143. The reversal of 745737072 is 270737547.

It is a super-2 number, since 2×7457370722 = 1112247561110266368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745737071) 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, 144879 + ... + 149937.

It is an arithmetic number, because the mean of its divisors is an integer number (25034856).

Almost surely, 2745737072 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 745737072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001394240).

745737072 is an abundant number, since it is smaller than the sum of its proper divisors (1257051408).

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

745737072 is a wasteful number, since it uses less digits than its factorization.

745737072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 42.

The square root of 745737072 is about 27308.1869042967. The cubic root of 745737072 is about 906.8356348391.

The spelling of 745737072 in words is "seven hundred forty-five million, seven hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 83 111 148 166 222 249 296 332 444 498 592 664 888 996 1328 1776 1992 3071 3984 5059 6142 9213 10118 12284 15177 18426 20236 24568 30354 36852 40472 49136 60708 73704 80944 121416 147408 187183 242832 374366 419897 561549 748732 839794 1123098 1259691 1497464 1679588 2246196 2519382 2994928 3359176 4492392 5038764 6718352 8984784 10077528 15536189 20155056 31072378 46608567 62144756 93217134 124289512 186434268 248579024 372868536 745737072