Search a number
-
+
612974128 = 241359199251
BaseRepresentation
bin100100100010010…
…011111000110000
31120201102022102111
4210202103320300
52223410133003
6140454055104
721122123404
oct4442237060
91521368374
10612974128
1129500a598
1215134a494
1399cbc0b0
145b5a3104
1538c31e6d
hex24893e30

612974128 has 80 divisors (see below), whose sum is σ = 1312416000. Its totient is φ = 275616000.

The previous prime is 612974113. The next prime is 612974161. The reversal of 612974128 is 821479216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2442003 + ... + 2442253.

It is an arithmetic number, because the mean of its divisors is an integer number (16405200).

Almost surely, 2612974128 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 612974128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208000).

612974128 is an abundant number, since it is smaller than the sum of its proper divisors (699441872).

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

612974128 is a wasteful number, since it uses less digits than its factorization.

612974128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 612974128 is about 24758.3143206479. The cubic root of 612974128 is about 849.4687005020.

The spelling of 612974128 in words is "six hundred twelve million, nine hundred seventy-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 199 208 236 251 398 472 502 767 796 944 1004 1534 1592 2008 2587 3068 3184 3263 4016 5174 6136 6526 10348 11741 12272 13052 14809 20696 23482 26104 29618 41392 46964 49949 52208 59236 93928 99898 118472 152633 187856 192517 199796 236944 305266 385034 399592 610532 649337 770068 799184 1221064 1298674 1540136 2442128 2597348 2946991 3080272 5194696 5893982 10389392 11787964 23575928 38310883 47151856 76621766 153243532 306487064 612974128