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2425626 = 23572331
BaseRepresentation
bin1001010000001100011010
311120020100000
421100030122
51110110001
6123553430
726421540
oct11201432
94506300
102425626
111407455
1298b876
1366c0a8
14471d90
1532da86
hex25031a

2425626 has 96 divisors (see below), whose sum is σ = 6709248. Its totient is φ = 641520.

The previous prime is 2425613. The next prime is 2425627. The reversal of 2425626 is 6265242.

It is a super-2 number, since 2×24256262 = 11767322983752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2425626.

It is not an unprimeable number, because it can be changed into a prime (2425627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78231 + ... + 78261.

It is an arithmetic number, because the mean of its divisors is an integer number (69888).

22425626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354624).

2425626 is an abundant number, since it is smaller than the sum of its proper divisors (4283622).

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

2425626 is a wasteful number, since it uses less digits than its factorization.

2425626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2425626 is about 1557.4421337565. The cubic root of 2425626 is about 134.3614286636.

The spelling of 2425626 in words is "two million, four hundred twenty-five thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 31 42 46 54 62 63 69 81 93 126 138 161 162 186 189 207 217 243 279 322 378 414 434 483 486 558 567 621 651 713 837 966 1134 1242 1302 1426 1449 1674 1701 1863 1953 2139 2511 2898 3402 3726 3906 4278 4347 4991 5022 5589 5859 6417 7533 8694 9982 11178 11718 12834 13041 14973 15066 17577 19251 26082 29946 35154 38502 39123 44919 52731 57753 78246 89838 105462 115506 134757 173259 269514 346518 404271 808542 1212813 2425626