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2501042024 = 231343717877
BaseRepresentation
bin1001010100010010…
…1101111101101000
320110022011002200002
42111010231331220
520110231321044
61052102002132
7115656335465
oct22504557550
96408132602
102501042024
111073855988
12599716348
1330b205830
1419a24266c
15e988474e
hex9512df68

2501042024 has 64 divisors (see below), whose sum is σ = 5241075840. Its totient is φ = 1111461120.

The previous prime is 2501042009. The next prime is 2501042039. The reversal of 2501042024 is 4202401052.

It is a happy number.

2501042024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2501042009) and next prime (2501042039).

It is a super-2 number, since 2×25010420242 = 12510422411628033152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2501041987 and 2501042005.

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, 313574 + ... + 321450.

It is an arithmetic number, because the mean of its divisors is an integer number (81891810).

Almost surely, 22501042024 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 2501042024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620537920).

2501042024 is an abundant number, since it is smaller than the sum of its proper divisors (2740033816).

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

2501042024 is a wasteful number, since it uses less digits than its factorization.

2501042024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8010 (or 8006 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2501042024 is about 50010.4191544122. The cubic root of 2501042024 is about 1357.3973479917.

Adding to 2501042024 its reverse (4202401052), we get a palindrome (6703443076).

The spelling of 2501042024 in words is "two billion, five hundred one million, forty-two thousand, twenty-four".

Divisors: 1 2 4 8 13 26 43 52 71 86 104 142 172 284 344 559 568 923 1118 1846 2236 3053 3692 4472 6106 7384 7877 12212 15754 24424 31508 39689 63016 79378 102401 158756 204802 317512 338711 409604 559267 677422 819208 1118534 1354844 2237068 2709688 4403243 4474136 7270471 8806486 14540942 17612972 24048481 29081884 35225944 48096962 58163768 96193924 192387848 312630253 625260506 1250521012 2501042024