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2423132415 = 345111928627
BaseRepresentation
bin1001000001101110…
…0001000011111111
320020212112212210000
42100123201003333
514430310214130
61040240045343
7114022166664
oct22033410377
96225485700
102423132415
111033882280
12577603853
132c8027a82
1418db61a6b
15e2ae5260
hex906e10ff

2423132415 has 80 divisors (see below), whose sum is σ = 4988142720. Its totient is φ = 1112978880.

The previous prime is 2423132399. The next prime is 2423132429. The reversal of 2423132415 is 5142313242.

2423132415 is a `hidden beast` number, since 242 + 3 + 1 + 3 + 2 + 415 = 666.

2423132415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2423132415 - 24 = 2423132399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70332 + ... + 98958.

It is an arithmetic number, because the mean of its divisors is an integer number (62351784).

Almost surely, 22423132415 is an apocalyptic number.

2423132415 is an abundant number, since it is smaller than the sum of its proper divisors (2565010305).

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

2423132415 is a wasteful number, since it uses less digits than its factorization.

2423132415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28674 (or 28665 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2423132415 is about 49225.3229039688. The cubic root of 2423132415 is about 1343.1537092869.

Adding to 2423132415 its reverse (5142313242), we get a palindrome (7565445657).

The spelling of 2423132415 in words is "two billion, four hundred twenty-three million, one hundred thirty-two thousand, four hundred fifteen".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 81 95 99 135 165 171 209 285 297 405 495 513 627 855 891 1045 1485 1539 1881 2565 3135 4455 5643 7695 9405 16929 28215 28627 84645 85881 143135 257643 314897 429405 543913 772929 944691 1288215 1574485 1631739 2318787 2719565 2834073 3864645 4723455 4895217 5983043 8158695 8502219 11593935 14170365 14685651 17949129 24476085 25506657 29915215 42511095 44056953 53847387 73428255 89745645 127533285 161542161 220284765 269236935 484626483 807710805 2423132415