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40024872 = 2332292661
BaseRepresentation
bin1001100010101…
…1101100101000
32210022110210200
42120223230220
540221243442
63545512200
7664130406
oct230535450
983273720
1040024872
1120658308
12114a2660
1383a4c74
14545c476
1537a934c
hex262bb28

40024872 has 72 divisors (see below), whose sum is σ = 112437390. Its totient is φ = 12862080.

The previous prime is 40024781. The next prime is 40024877. The reversal of 40024872 is 27842004.

It can be written as a sum of positive squares in 3 ways, for example, as 38266596 + 1758276 = 6186^2 + 1326^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (40024877) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60222 + ... + 60882.

Almost surely, 240024872 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 40024872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56218695).

40024872 is an abundant number, since it is smaller than the sum of its proper divisors (72412518).

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

40024872 is a wasteful number, since it uses less digits than its factorization.

40024872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40024872 is about 6326.5213190188. The cubic root of 40024872 is about 342.0660588514.

Adding to 40024872 its reverse (27842004), we get a palindrome (67866876).

The spelling of 40024872 in words is "forty million, twenty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 661 696 841 1044 1322 1682 1983 2088 2523 2644 3364 3966 5046 5288 5949 6728 7569 7932 10092 11898 15138 15864 19169 20184 23796 30276 38338 47592 57507 60552 76676 115014 153352 172521 230028 345042 460056 555901 690084 1111802 1380168 1667703 2223604 3335406 4447208 5003109 6670812 10006218 13341624 20012436 40024872