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612284540 = 225729239631
BaseRepresentation
bin100100011111101…
…011100001111100
31120200010021111012
4210133223201330
52223221101130
6140431214352
721113222060
oct4437534174
91520107435
10612284540
1129468948a
121510773b8
1399b0a25a
145b463aa0
1538b47995
hex247eb87c

612284540 has 96 divisors (see below), whose sum is σ = 1528934400. Its totient is φ = 201519360.

The previous prime is 612284531. The next prime is 612284579. The reversal of 612284540 is 45482216.

It is a junction number, because it is equal to n+sod(n) for n = 612284497 and 612284506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970025 + ... + 970655.

It is an arithmetic number, because the mean of its divisors is an integer number (15926400).

Almost surely, 2612284540 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 612284540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764467200).

612284540 is an abundant number, since it is smaller than the sum of its proper divisors (916649860).

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

612284540 is a wasteful number, since it uses less digits than its factorization.

612284540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 612284540 is about 24744.3840093060. The cubic root of 612284540 is about 849.1500338574.

The spelling of 612284540 in words is "six hundred twelve million, two hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 239 290 406 478 580 631 812 956 1015 1195 1262 1673 2030 2390 2524 3155 3346 4060 4417 4780 6310 6692 6931 8365 8834 12620 13862 16730 17668 18299 22085 27724 33460 34655 36598 44170 48517 69310 73196 88340 91495 97034 128093 138620 150809 182990 194068 242585 256186 301618 365980 485170 512372 603236 640465 754045 970340 1055663 1280930 1508090 2111326 2561860 3016180 4222652 4373461 5278315 8746922 10556630 17493844 21113260 21867305 30614227 43734610 61228454 87469220 122456908 153071135 306142270 612284540