Search a number
-
+
2402136928 = 252331127829
BaseRepresentation
bin1000111100101101…
…1011001101100000
320012102001012101101
42033023123031200
514404421340203
61034210044144
7113345553442
oct21713331540
96172035341
102402136928
111022a42034
12570579654
132c38864c9
1418b058492
15e0d4941d
hex8f2db360

2402136928 has 96 divisors (see below), whose sum is σ = 5140316160. Its totient is φ = 1101703680.

The previous prime is 2402136917. The next prime is 2402136929. The reversal of 2402136928 is 8296312042.

It is a happy number.

2402136928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24021369282 = 11540523641722554368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402136929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2897218 + ... + 2898046.

It is an arithmetic number, because the mean of its divisors is an integer number (53544960).

Almost surely, 22402136928 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 2402136928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570158080).

2402136928 is an abundant number, since it is smaller than the sum of its proper divisors (2738179232).

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

2402136928 is a wasteful number, since it uses less digits than its factorization.

2402136928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 2402136928 is about 49011.5999330771. The cubic root of 2402136928 is about 1339.2631517338.

The spelling of 2402136928 in words is "two billion, four hundred two million, one hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 127 184 248 254 368 496 508 713 736 829 992 1016 1426 1658 2032 2852 2921 3316 3937 4064 5704 5842 6632 7874 11408 11684 13264 15748 19067 22816 23368 25699 26528 31496 38134 46736 51398 62992 76268 90551 93472 102796 105283 125984 152536 181102 205592 210566 305072 362204 411184 421132 591077 610144 724408 822368 842264 1182154 1448816 1684528 2364308 2421509 2897632 3263773 3369056 4728616 4843018 6527546 9457232 9686036 13055092 18914464 19372072 26110184 38744144 52220368 75066779 77488288 104440736 150133558 300267116 600534232 1201068464 2402136928