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25268004 = 2233435441
BaseRepresentation
bin110000001100…
…0111100100100
31202112202012000
41200120330210
522432034004
62301325300
7424526436
oct140307444
952482160
1025268004
1113299253
128566830
1353091a8
1434da656
152341c39
hex1818f24

25268004 has 48 divisors (see below), whose sum is σ = 67045440. Its totient is φ = 8225280.

The previous prime is 25267997. The next prime is 25268011. The reversal of 25268004 is 40086252.

It is an interprime number because it is at equal distance from previous prime (25267997) and next prime (25268011).

It is a super-2 number, since 2×252680042 = 1276944052288032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924 + ... + 7364.

It is an arithmetic number, because the mean of its divisors is an integer number (1396780).

Almost surely, 225268004 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 25268004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33522720).

25268004 is an abundant number, since it is smaller than the sum of its proper divisors (41777436).

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

25268004 is a wasteful number, since it uses less digits than its factorization.

25268004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 25268004 is about 5026.7289562896. The cubic root of 25268004 is about 293.4429267949.

The spelling of 25268004 in words is "twenty-five million, two hundred sixty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 5441 10882 16323 21764 32646 48969 65292 97938 146907 195876 233963 293814 467926 587628 701889 935852 1403778 2105667 2807556 4211334 6317001 8422668 12634002 25268004