Search a number
-
+
25146016 = 25732979
BaseRepresentation
bin101111111101…
…1001010100000
31202022112211221
41133323022200
522414133031
62254544424
7423511000
oct137731240
952275757
1025146016
1113215635
128508114
1352957cc
1434a8000
15231aa11
hex17fb2a0

25146016 has 96 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 10273536.

The previous prime is 25145983. The next prime is 25146019. The reversal of 25146016 is 61064152.

It is not an unprimeable number, because it can be changed into a prime (25146019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318265 + ... + 318343.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 225146016 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 25146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

25146016 is an abundant number, since it is smaller than the sum of its proper divisors (35333984).

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

25146016 is an equidigital number, since it uses as much as digits as its factorization.

25146016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 25146016 is about 5014.5803413646. The cubic root of 25146016 is about 292.9699402663.

The spelling of 25146016 in words is "twenty-five million, one hundred forty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 79 98 112 116 158 196 203 224 232 316 343 392 406 464 553 632 686 784 812 928 1106 1264 1372 1421 1568 1624 2212 2291 2528 2744 2842 3248 3871 4424 4582 5488 5684 6496 7742 8848 9164 9947 10976 11368 15484 16037 17696 18328 19894 22736 27097 30968 32074 36656 39788 45472 54194 61936 64148 73312 79576 108388 112259 123872 128296 159152 216776 224518 256592 318304 433552 449036 513184 785813 867104 898072 1571626 1796144 3143252 3592288 6286504 12573008 25146016