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2412423432 = 233322749201
BaseRepresentation
bin1000111111001010…
…1010100100001000
320020010101210211000
42033302222210020
514420040022212
61035214335000
7113532155316
oct21762524410
96203353730
102412423432
111028828481
12573aba460
132c5a485b3
1418c5750b6
15e1bcc1dc
hex8fcaa908

2412423432 has 64 divisors (see below), whose sum is σ = 6730833600. Its totient is φ = 800582400.

The previous prime is 2412423427. The next prime is 2412423439. The reversal of 2412423432 is 2343242142.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2412423396 and 2412423405.

It is not an unprimeable number, because it can be changed into a prime (2412423439) 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, 24432 + ... + 73632.

It is an arithmetic number, because the mean of its divisors is an integer number (105169275).

Almost surely, 22412423432 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 2412423432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365416800).

2412423432 is an abundant number, since it is smaller than the sum of its proper divisors (4318410168).

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

2412423432 is a wasteful number, since it uses less digits than its factorization.

2412423432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49443 (or 49433 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2412423432 is about 49116.4273130691. The cubic root of 2412423432 is about 1341.1721072939.

Adding to 2412423432 its reverse (2343242142), we get a palindrome (4755665574).

The spelling of 2412423432 in words is "two billion, four hundred twelve million, four hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 227 454 681 908 1362 1816 2043 2724 4086 5448 6129 8172 12258 16344 24516 49032 49201 98402 147603 196804 295206 393608 442809 590412 885618 1180824 1328427 1771236 2656854 3542472 5313708 10627416 11168627 22337254 33505881 44674508 67011762 89349016 100517643 134023524 201035286 268047048 301552929 402070572 603105858 804141144 1206211716 2412423432