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611472064 = 267372997
BaseRepresentation
bin100100011100100…
…101001011000000
31120121120222222111
4210130211023000
52223014101224
6140401545104
721103266250
oct4434451300
91517528874
10611472064
11294184015
12150945194
13998b44b8
145b2d1960
1538a36d94
hex247252c0

611472064 has 84 divisors (see below), whose sum is σ = 1426652976. Its totient is φ = 254721024.

The previous prime is 611472053. The next prime is 611472067. The reversal of 611472064 is 460274116.

It is not an unprimeable number, because it can be changed into a prime (611472067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612814 + ... + 613810.

It is an arithmetic number, because the mean of its divisors is an integer number (16983964).

Almost surely, 2611472064 is an apocalyptic number.

611472064 is a gapful number since it is divisible by the number (64) 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 611472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713326488).

611472064 is an abundant number, since it is smaller than the sum of its proper divisors (815180912).

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

611472064 is an equidigital number, since it uses as much as digits as its factorization.

611472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 611472064 is about 24727.9611775819. The cubic root of 611472064 is about 848.7742720640.

The spelling of 611472064 in words is "six hundred eleven million, four hundred seventy-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 997 1036 1184 1369 1994 2072 2368 2738 3988 4144 5476 6979 7976 8288 9583 10952 13958 15952 16576 19166 21904 27916 31904 36889 38332 43808 55832 63808 73778 76664 87616 111664 147556 153328 223328 258223 295112 306656 446656 516446 590224 613312 1032892 1180448 1364893 2065784 2360896 2729786 4131568 5459572 8263136 9554251 10919144 16526272 19108502 21838288 38217004 43676576 76434008 87353152 152868016 305736032 611472064