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40725624 = 23353101317
BaseRepresentation
bin1001101101011…
…0110001111000
32211122002001110
42123112301320
540411204444
64012520320
71003106412
oct233266170
984562043
1040725624
1120a96845
12117800a0
13858bc04
1455a19b2
153896cb9
hex26d6c78

40725624 has 64 divisors (see below), whose sum is σ = 105092640. Its totient is φ = 13145600.

The previous prime is 40725583. The next prime is 40725631. The reversal of 40725624 is 42652704.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40725591 and 40725600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128314 + ... + 128630.

Almost surely, 240725624 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 40725624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52546320).

40725624 is an abundant number, since it is smaller than the sum of its proper divisors (64367016).

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

40725624 is a wasteful number, since it uses less digits than its factorization.

40725624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 40725624 is about 6381.6631061190. The cubic root of 40725624 is about 344.0508082516.

The spelling of 40725624 in words is "forty million, seven hundred twenty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 101 106 159 202 212 303 317 318 404 424 606 634 636 808 951 1212 1268 1272 1902 2424 2536 3804 5353 7608 10706 16059 16801 21412 32017 32118 33602 42824 50403 64034 64236 67204 96051 100806 128068 128472 134408 192102 201612 256136 384204 403224 768408 1696901 3393802 5090703 6787604 10181406 13575208 20362812 40725624