Search a number
-
+
25106432 = 211132341
BaseRepresentation
bin101111111000…
…1100000000000
31202020112112212
41133301200000
522411401212
62254041252
7423254411
oct137614000
952215485
1025106432
111319891a
1284a9228
1352807a0
143497808
15230de22
hex17f1800

25106432 has 96 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 10813440.

The previous prime is 25106383. The next prime is 25106509. The reversal of 25106432 is 23460152.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 25106398 and 25106407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612332 + ... + 612372.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 225106432 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 25106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

25106432 is an abundant number, since it is smaller than the sum of its proper divisors (32682208).

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

25106432 is a wasteful number, since it uses less digits than its factorization.

25106432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 25106432 is about 5010.6318962782. The cubic root of 25106432 is about 292.8161317717.

Adding to 25106432 its reverse (23460152), we get a palindrome (48566584).

The spelling of 25106432 in words is "twenty-five million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 41 46 52 64 82 92 104 128 164 184 208 256 299 328 368 416 512 533 598 656 736 832 943 1024 1066 1196 1312 1472 1664 1886 2048 2132 2392 2624 2944 3328 3772 4264 4784 5248 5888 6656 7544 8528 9568 10496 11776 12259 13312 15088 17056 19136 20992 23552 24518 26624 30176 34112 38272 41984 47104 49036 60352 68224 76544 83968 98072 120704 136448 153088 196144 241408 272896 306176 392288 482816 545792 612352 784576 965632 1091584 1569152 1931264 3138304 6276608 12553216 25106432