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613297940 = 225372333557
BaseRepresentation
bin100100100011100…
…010111100010100
31120202000202121112
4210203202330110
52224001013230
6140505034152
721124642433
oct4443427424
91522022545
10613297940
11295210902
12151485958
139a0a35b8
145b64911a
1538c97d95
hex248e2f14

613297940 has 48 divisors (see below), whose sum is σ = 1328784912. Its totient is φ = 237597696.

The previous prime is 613297913. The next prime is 613297943. The reversal of 613297940 is 49792316.

It can be written as a sum of positive squares in 8 ways, for example, as 28238596 + 585059344 = 5314^2 + 24188^2 .

It is a super-2 number, since 2×6132979402 = 752268726416487200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613297943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170642 + ... + 174198.

It is an arithmetic number, because the mean of its divisors is an integer number (27683019).

Almost surely, 2613297940 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 613297940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664392456).

613297940 is an abundant number, since it is smaller than the sum of its proper divisors (715486972).

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

613297940 is a wasteful number, since it uses less digits than its factorization.

613297940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 613297940 is about 24764.8529169870. The cubic root of 613297940 is about 849.6182553387.

The spelling of 613297940 in words is "six hundred thirteen million, two hundred ninety-seven thousand, nine hundred forty".