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57578402025 = 32521729412
BaseRepresentation
bin110101100111111100…
…001011000011101001
312111121201220212211100
4311213330023003221
51420410032331100
642241240552013
74105563225204
oct654774130351
9174551825740
1057578402025
1122467563721
12b1aaa82609
135577b4b991
142b0301093b
15176ed62400
hexd67f0b0e9

57578402025 has 81 divisors (see below), whose sum is σ = 109669139983. Its totient is φ = 28871385600.

The previous prime is 57578402023. The next prime is 57578402041. The reversal of 57578402025 is 52020487575.

The square root of 57578402025 is 239955.

It is a perfect power (a square), and thus also a powerful number.

57578402025 is a `hidden beast` number, since 57 + 578 + 4 + 0 + 2 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 13750142121 + 43828259904 = 117261^2 + 209352^2 .

It is not a de Polignac number, because 57578402025 - 21 = 57578402023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57578402023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61188055 + ... + 61188995.

Almost surely, 257578402025 is an apocalyptic number.

57578402025 is the 239955-th square number.

57578402025 is the 119978-th centered octagonal number.

It is an amenable number.

57578402025 is a deficient number, since it is larger than the sum of its proper divisors (52090737958).

57578402025 is an equidigital number, since it uses as much as digits as its factorization.

57578402025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 57578402025 in words is "fifty-seven billion, five hundred seventy-eight million, four hundred two thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 289 425 765 867 941 1275 1445 2601 2823 3825 4335 4705 7225 8469 13005 14115 15997 21675 23525 42345 47991 65025 70575 79985 143973 211725 239955 271949 399925 719865 815847 885481 1199775 1359745 2447541 2656443 3599325 4079235 4427405 6798725 7969329 12237705 13282215 15053177 20396175 22137025 39846645 45159531 61188525 66411075 75265885 135478593 199233225 225797655 255904009 376329425 677392965 767712027 1128988275 1279520045 2303136081 3386964825 3838560135 6397600225 11515680405 19192800675 57578402025