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842450625 = 3654432
BaseRepresentation
bin110010001101101…
…100011011000001
32011201012221000000
4302031230123001
53211131410000
6215332350213
726606466162
oct6215543301
92151187000
10842450625
113a25a5695
121b6175369
131056c6cc3
147dc59769
154de60000
hex3236c6c1

842450625 has 105 divisors (see below), whose sum is σ = 1615927269. Its totient is φ = 438858000.

The previous prime is 842450617. The next prime is 842450629. The reversal of 842450625 is 526054248.

It is a happy number.

The square root of 842450625 is 29025.

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

842450625 is a `hidden beast` number, since 8 + 4 + 24 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66048129 + 776402496 = 8127^2 + 27864^2 .

It is not a de Polignac number, because 842450625 - 23 = 842450617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 842450625.

It is not an unprimeable number, because it can be changed into a prime (842450629) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 19591854 + ... + 19591896.

Almost surely, 2842450625 is an apocalyptic number.

842450625 is the 29025-th square number.

842450625 is the 14513-rd centered octagonal number.

It is an amenable number.

842450625 is a deficient number, since it is larger than the sum of its proper divisors (773476644).

842450625 is an frugal number, since it uses more digits than its factorization.

842450625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The cubic root of 842450625 is about 944.4554686013.

Multiplying 842450625 by its sum of digits (36), we get a square (30328222500 = 1741502).

It can be divided in two parts, 8424 and 50625, that added together give a 10-th power (59049 = 310).

The spelling of 842450625 in words is "eight hundred forty-two million, four hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 43 45 75 81 125 129 135 215 225 243 375 387 405 625 645 675 729 1075 1125 1161 1215 1849 1875 1935 2025 3225 3375 3483 3645 5375 5547 5625 5805 6075 9245 9675 10125 10449 16125 16641 16875 17415 18225 26875 27735 29025 30375 31347 46225 48375 49923 50625 52245 80625 83205 87075 91125 138675 145125 149769 151875 156735 231125 241875 249615 261225 416025 435375 449307 455625 693375 725625 748845 783675 1155625 1248075 1306125 1347921 2080125 2176875 2246535 3466875 3744225 3918375 6240375 6530625 6739605 10400625 11232675 18721125 19591875 31201875 33698025 56163375 93605625 168490125 280816875 842450625