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25890464 = 251997439
BaseRepresentation
bin110001011000…
…0111010100000
31210201101001002
41202300322200
523111443324
62322531132
7433031255
oct142607240
953641032
1025890464
1113683986
128806aa8
135496602
14361d42c
1524163ae
hex18b0ea0

25890464 has 48 divisors (see below), whose sum is σ = 54331200. Its totient is φ = 12109824.

The previous prime is 25890463. The next prime is 25890493. The reversal of 25890464 is 46409852.

It is a super-2 number, since 2×258904642 = 1340632252270592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (25890463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58757 + ... + 59195.

It is an arithmetic number, because the mean of its divisors is an integer number (1131900).

Almost surely, 225890464 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 25890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27165600).

25890464 is an abundant number, since it is smaller than the sum of its proper divisors (28440736).

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

25890464 is a wasteful number, since it uses less digits than its factorization.

25890464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 25890464 is about 5088.2672885767. The cubic root of 25890464 is about 295.8329956398.

The spelling of 25890464 in words is "twenty-five million, eight hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 97 152 194 304 388 439 608 776 878 1552 1756 1843 3104 3512 3686 7024 7372 8341 14048 14744 16682 29488 33364 42583 58976 66728 85166 133456 170332 266912 340664 681328 809077 1362656 1618154 3236308 6472616 12945232 25890464