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3642578125 = 510373
BaseRepresentation
bin1101100100011101…
…0101010011001101
3100101212011010210221
43121013111103031
524430000000000
61401241031341
7156160255204
oct33107252315
910355133727
103642578125
1115aa15a94a
12857a85551
1346086a294
14267ab423b
15164bc261a
hexd91d54cd

3642578125 has 22 divisors (see below), whose sum is σ = 4565429594. Its totient is φ = 2906250000.

The previous prime is 3642578101. The next prime is 3642578143. The reversal of 3642578125 is 5218752463.

It can be written as a sum of positive squares in 11 ways, for example, as 307862116 + 3334716009 = 17546^2 + 57747^2 .

It is not a de Polignac number, because 3642578125 - 27 = 3642577997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 9765439 + ... + 9765811.

It is an arithmetic number, because the mean of its divisors is an integer number (207519527).

Almost surely, 23642578125 is an apocalyptic number.

It is an amenable number.

3642578125 is a deficient number, since it is larger than the sum of its proper divisors (922851469).

3642578125 is an frugal number, since it uses more digits than its factorization.

3642578125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 378 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The square root of 3642578125 is about 60353.7747369624. The cubic root of 3642578125 is about 1538.6374248027.

The spelling of 3642578125 in words is "three billion, six hundred forty-two million, five hundred seventy-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 125 373 625 1865 3125 9325 15625 46625 78125 233125 390625 1165625 1953125 5828125 9765625 29140625 145703125 728515625 3642578125