Search a number
-
+
25122474 = 2341379151
BaseRepresentation
bin101111111010…
…1011010101010
31202021100120000
41133311122222
522412404344
62254243430
7423352236
oct137653252
952240500
1025122474
11131a9983
1284b6576
135287b90
14349d5c6
152313a69
hex17f56aa

25122474 has 80 divisors (see below), whose sum is σ = 61797120. Its totient is φ = 7581600.

The previous prime is 25122473. The next prime is 25122491. The reversal of 25122474 is 47422152.

It is a super-2 number, since 2×251224742 = 1262277399761352, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25122473) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166299 + ... + 166449.

It is an arithmetic number, because the mean of its divisors is an integer number (772464).

Almost surely, 225122474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25122474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30898560).

25122474 is an abundant number, since it is smaller than the sum of its proper divisors (36674646).

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

25122474 is a wasteful number, since it uses less digits than its factorization.

25122474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 25122474 is about 5012.2324367491. The cubic root of 25122474 is about 292.8784844026.

The spelling of 25122474 in words is "twenty-five million, one hundred twenty-two thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 81 117 151 158 162 234 237 302 351 453 474 702 711 906 1027 1053 1359 1422 1963 2054 2106 2133 2718 3081 3926 4077 4266 5889 6162 6399 8154 9243 11778 11929 12231 12798 17667 18486 23858 24462 27729 35334 35787 53001 55458 71574 83187 106002 107361 155077 159003 166374 214722 310154 318006 322083 465231 644166 930462 966249 1395693 1932498 2791386 4187079 8374158 12561237 25122474