Search a number
-
+
612056016 = 2432111329723
BaseRepresentation
bin100100011110110…
…011101111010000
31120122200200000100
4210132303233100
52223141243031
6140422252400
721111250605
oct4436635720
91518620010
10612056016
11294542820
12150b87100
1399a5a230
145b4046ac
1538aeede6
hex247b3bd0

612056016 has 120 divisors (see below), whose sum is σ = 2012433696. Its totient is φ = 171198720.

The previous prime is 612056009. The next prime is 612056021. The reversal of 612056016 is 610650216.

It is a happy number.

It is a super-2 number, since 2×6120560162 = 749225133443584512, which contains 22 as substring.

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, 5731 + ... + 35453.

Almost surely, 2612056016 is an apocalyptic number.

612056016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612056016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006216848).

612056016 is an abundant number, since it is smaller than the sum of its proper divisors (1400377680).

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

612056016 is a wasteful number, since it uses less digits than its factorization.

612056016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29761 (or 29752 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 612056016 is about 24739.7658840984. The cubic root of 612056016 is about 849.0443774745.

The spelling of 612056016 in words is "six hundred twelve million, fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 29723 59446 89169 118892 178338 237784 267507 326953 356676 386399 475568 535014 653906 713352 772798 980859 1070028 1159197 1307812 1426704 1545596 1961718 2140056 2318394 2615624 2942577 3091192 3477591 3923436 4250389 4280112 4636788 5231248 5885154 6182384 6955182 7846872 8500778 9273576 11770308 12751167 13910364 15693744 17001556 18547152 23540616 25502334 27820728 34003112 38253501 47081232 51004668 55641456 68006224 76507002 102009336 153014004 204018672 306028008 612056016