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2501402024 = 2311212372089
BaseRepresentation
bin1001010100011000…
…0101110110101000
320110022211101111102
42111012011312220
520110324331044
61052113420532
7115662365162
oct22506056650
96408741442
102501402024
111073a81400
1259986a748
1330b300654
1419a2d7932
15e990624e
hex95185da8

2501402024 has 48 divisors (see below), whose sum is σ = 5161902900. Its totient is φ = 1135537920.

The previous prime is 2501402011. The next prime is 2501402069. The reversal of 2501402024 is 4202041052.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2206180900 + 295221124 = 46970^2 + 17182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2501401987 and 2501402005.

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, 1196372 + ... + 1198460.

Almost surely, 22501402024 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 2501402024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580951450).

2501402024 is an abundant number, since it is smaller than the sum of its proper divisors (2660500876).

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

2501402024 is a wasteful number, since it uses less digits than its factorization.

2501402024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3339 counting only the distinct ones).

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

The square root of 2501402024 is about 50014.0182748797. The cubic root of 2501402024 is about 1357.4624727938.

Adding to 2501402024 its reverse (4202041052), we get a palindrome (6703443076).

The spelling of 2501402024 in words is "two billion, five hundred one million, four hundred two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1237 2089 2474 4178 4948 8356 9896 13607 16712 22979 27214 45958 54428 91916 108856 149677 183832 252769 299354 505538 598708 1011076 1197416 2022152 2584093 5168186 10336372 20672744 28425023 56850046 113700092 227400184 312675253 625350506 1250701012 2501402024