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25890048 = 283217661
BaseRepresentation
bin110001011000…
…0110100000000
31210201100110200
41202300310000
523111440143
62322525200
7433030122
oct142606400
953640420
1025890048
1113683638
128806800
135496372
14361d212
1524161d3
hex18b0d00

25890048 has 108 divisors (see below), whose sum is σ = 79157988. Its totient is φ = 8110080.

The previous prime is 25890043. The next prime is 25890049. The reversal of 25890048 is 84009852.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 5531904 = 4512^2 + 2352^2 .

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 = 25889994 and 25890021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25890043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38838 + ... + 39498.

Almost surely, 225890048 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 25890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39578994).

25890048 is an abundant number, since it is smaller than the sum of its proper divisors (53267940).

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

25890048 is a wasteful number, since it uses less digits than its factorization.

25890048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 25890048 is about 5088.2264100568. The cubic root of 25890048 is about 295.8314111802.

The spelling of 25890048 in words is "twenty-five million, eight hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 661 768 816 1088 1152 1224 1322 1632 1983 2176 2304 2448 2644 3264 3966 4352 4896 5288 5949 6528 7932 9792 10576 11237 11898 13056 15864 19584 21152 22474 23796 31728 33711 39168 42304 44948 47592 63456 67422 84608 89896 95184 101133 126912 134844 169216 179792 190368 202266 253824 269688 359584 380736 404532 507648 539376 719168 761472 809064 1078752 1438336 1522944 1618128 2157504 2876672 3236256 4315008 6472512 8630016 12945024 25890048