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572978952 = 233272132312
BaseRepresentation
bin100010001001101…
…111011100001000
31110221011100100200
4202021233130020
52133140311302
6132504532200
720125145400
oct4211573410
91427140320
10572978952
11274482627
1213ba81060
1391927800
1456151800
153548181c
hex2226f708

572978952 has 324 divisors, whose sum is σ = 2019806685. Its totient is φ = 146240640.

The previous prime is 572978947. The next prime is 572978957. The reversal of 572978952 is 259879275.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (572978947) and next prime (572978957).

It can be written as a sum of positive squares in 2 ways, for example, as 489913956 + 83064996 = 22134^2 + 9114^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=16926.

Its product of digits (3175200) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (572978957) 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 80 ways as a sum of consecutive naturals, for example, 18483177 + ... + 18483207.

Almost surely, 2572978952 is an apocalyptic number.

572978952 is a gapful number since it is divisible by the number (52) 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 572978952

572978952 is an abundant number, since it is smaller than the sum of its proper divisors (1446827733).

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

572978952 is a wasteful number, since it uses less digits than its factorization.

572978952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 56 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 572978952 is about 23936.9787567270. The cubic root of 572978952 is about 830.5763413688.

It can be divided in two parts, 5729 and 78952, that added together give a square (84681 = 2912).

The spelling of 572978952 in words is "five hundred seventy-two million, nine hundred seventy-eight thousand, nine hundred fifty-two".