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25740828 = 2234531499
BaseRepresentation
bin110001000110…
…0011000011100
31210102202210000
41202030120130
523042201303
62315414300
7431536101
oct142143034
953382700
1025740828
1113591513
128754390
135443479
1435c0aa8
1523d6da3
hex188c61c

25740828 has 60 divisors (see below), whose sum is σ = 68607000. Its totient is φ = 8412768.

The previous prime is 25740823. The next prime is 25740851. The reversal of 25740828 is 82804752.

It is a happy number.

25740828 is a `hidden beast` number, since 2 + 574 + 0 + 82 + 8 = 666.

It is a super-2 number, since 2×257408282 = 1325180452251168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25740792 and 25740801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25740821) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16423 + ... + 17921.

It is an arithmetic number, because the mean of its divisors is an integer number (1143450).

Almost surely, 225740828 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 25740828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34303500).

25740828 is an abundant number, since it is smaller than the sum of its proper divisors (42866172).

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

25740828 is a wasteful number, since it uses less digits than its factorization.

25740828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 25740828 is about 5073.5419580408. The cubic root of 25740828 is about 295.2619639904.

The spelling of 25740828 in words is "twenty-five million, seven hundred forty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1499 1908 2862 2998 4293 4497 5724 5996 8586 8994 13491 17172 17988 26982 40473 53964 79447 80946 121419 158894 161892 238341 242838 317788 476682 485676 715023 953364 1430046 2145069 2860092 4290138 6435207 8580276 12870414 25740828