Search a number
-
+
5472000756 = 22324715720599
BaseRepresentation
bin1010001100010100…
…00001101011110100
3112010100112102212200
411012022001223310
542201313011011
62302551544500
7252413144655
oct50612015364
915110472780
105472000756
112358890182
12108868b130
1369288c591
1439ca4952c
152205dd856
hex146281af4

5472000756 has 72 divisors (see below), whose sum is σ = 14216966400. Its totient is φ = 1773734976.

The previous prime is 5472000731. The next prime is 5472000761. The reversal of 5472000756 is 6570002745.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5472000756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255345 + ... + 275943.

Almost surely, 25472000756 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 5472000756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108483200).

5472000756 is an abundant number, since it is smaller than the sum of its proper divisors (8744965644).

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

5472000756 is a wasteful number, since it uses less digits than its factorization.

5472000756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20813 (or 20808 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5472000756 is about 73972.9731456023. The cubic root of 5472000756 is about 1762.1737041348.

The spelling of 5472000756 in words is "five billion, four hundred seventy-two million, seven hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 157 188 282 314 423 471 564 628 846 942 1413 1692 1884 2826 5652 7379 14758 20599 22137 29516 41198 44274 61797 66411 82396 88548 123594 132822 185391 247188 265644 370782 741564 968153 1936306 2904459 3234043 3872612 5808918 6468086 8713377 9702129 11617836 12936172 17426754 19404258 29106387 34853508 38808516 58212774 116425548 152000021 304000042 456000063 608000084 912000126 1368000189 1824000252 2736000378 5472000756