Search a number
-
+
2501413312 = 26315092477
BaseRepresentation
bin1001010100011000…
…1000100111000000
320110022211221222111
42111012020213000
520110330211222
61052113545104
7115662443116
oct22506104700
96408757874
102501413312
111073a89932
12599875194
1330b305828
1419a2dbab6
15e9909777
hex951889c0

2501413312 has 56 divisors (see below), whose sum is σ = 5136001920. Its totient is φ = 1207495680.

The previous prime is 2501413307. The next prime is 2501413373. The reversal of 2501413312 is 2133141052.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008618 + ... + 1011094.

It is an arithmetic number, because the mean of its divisors is an integer number (91714320).

Almost surely, 22501413312 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 2501413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568000960).

2501413312 is an abundant number, since it is smaller than the sum of its proper divisors (2634588608).

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

2501413312 is a wasteful number, since it uses less digits than its factorization.

2501413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2501413312 is about 50014.1311231136. The cubic root of 2501413312 is about 1357.4645147171.

Adding to 2501413312 its reverse (2133141052), we get a palindrome (4634554364).

The spelling of 2501413312 in words is "two billion, five hundred one million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 509 992 1018 1984 2036 2477 4072 4954 8144 9908 15779 16288 19816 31558 32576 39632 63116 76787 79264 126232 153574 158528 252464 307148 504928 614296 1009856 1228592 1260793 2457184 2521586 4914368 5043172 10086344 20172688 39084583 40345376 78169166 80690752 156338332 312676664 625353328 1250706656 2501413312