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40625312 = 2572131993
BaseRepresentation
bin1001101011111…
…0010010100000
32211102222110012
42122332102200
540400002222
64010424052
71002211100
oct232762240
984388405
1040625312
1120a28442
1211732028
138555360
145577200
1538771e2
hex26be4a0

40625312 has 72 divisors (see below), whose sum is σ = 100246356. Its totient is φ = 16063488.

The previous prime is 40625309. The next prime is 40625323. The reversal of 40625312 is 21352604.

It can be written as a sum of positive squares in 2 ways, for example, as 40398736 + 226576 = 6356^2 + 476^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19388 + ... + 21380.

Almost surely, 240625312 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 40625312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50123178).

40625312 is an abundant number, since it is smaller than the sum of its proper divisors (59621044).

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

40625312 is a wasteful number, since it uses less digits than its factorization.

40625312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2015 counting only the distinct ones).

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

The square root of 40625312 is about 6373.7988672377. The cubic root of 40625312 is about 343.7680968104.

Adding to 40625312 its reverse (21352604), we get a palindrome (61977916).

The spelling of 40625312 in words is "forty million, six hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 1993 2548 2912 3986 5096 7972 10192 13951 15944 20384 25909 27902 31888 51818 55804 63776 97657 103636 111608 181363 195314 207272 223216 362726 390628 414544 446432 725452 781256 829088 1269541 1450904 1562512 2539082 2901808 3125024 5078164 5803616 10156328 20312656 40625312