Search a number
-
+
2024246772 = 2232174132297
BaseRepresentation
bin111100010100111…
…1000110111110100
312020001222101112200
41320221320313310
513121201344042
6532510344500
7101106546042
oct17051706764
95201871480
102024246772
119496a8619
12485abb130
132634b6772
14152bab392
15bcaa1c4c
hex78a78df4

2024246772 has 36 divisors (see below), whose sum is σ = 5119943556. Its totient is φ = 674340480.

The previous prime is 2024246771. The next prime is 2024246803. The reversal of 2024246772 is 2776424202.

It can be written as a sum of positive squares in 2 ways, for example, as 866478096 + 1157768676 = 29436^2 + 34026^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024246771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46528 + ... + 78824.

Almost surely, 22024246772 is an apocalyptic number.

It is an amenable number.

2024246772 is an abundant number, since it is smaller than the sum of its proper divisors (3095696784).

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

2024246772 is a wasteful number, since it uses less digits than its factorization.

2024246772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34048 (or 34043 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 2024246772 is about 44991.6300215940. The cubic root of 2024246772 is about 1264.9921150180.

The spelling of 2024246772 in words is "two billion, twenty-four million, two hundred forty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1741 3482 5223 6964 10446 15669 20892 31338 32297 62676 64594 96891 129188 193782 290673 387564 581346 1162692 56229077 112458154 168687231 224916308 337374462 506061693 674748924 1012123386 2024246772