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612927072 = 25323895471
BaseRepresentation
bin100100100010001…
…000011001100000
31120201022220212200
4210202020121200
52223402131242
6140453053200
721121536252
oct4442103140
91521286780
10612927072
11294a881aa
12151327200
1399ca3854
145b58dcd2
1538c2304c
hex24888660

612927072 has 72 divisors (see below), whose sum is σ = 1747811520. Its totient is φ = 203746560.

The previous prime is 612927043. The next prime is 612927079. The reversal of 612927072 is 270729216.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612927079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109297 + ... + 114767.

It is an arithmetic number, because the mean of its divisors is an integer number (24275160).

Almost surely, 2612927072 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 612927072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873905760).

612927072 is an abundant number, since it is smaller than the sum of its proper divisors (1134884448).

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

612927072 is a wasteful number, since it uses less digits than its factorization.

612927072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 612927072 is about 24757.3639953853. The cubic root of 612927072 is about 849.4469629766.

The spelling of 612927072 in words is "six hundred twelve million, nine hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 389 778 1167 1556 2334 3112 3501 4668 5471 6224 7002 9336 10942 12448 14004 16413 18672 21884 28008 32826 37344 43768 49239 56016 65652 87536 98478 112032 131304 175072 196956 262608 393912 525216 787824 1575648 2128219 4256438 6384657 8512876 12769314 17025752 19153971 25538628 34051504 38307942 51077256 68103008 76615884 102154512 153231768 204309024 306463536 612927072