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4012404224 = 2997173467
BaseRepresentation
bin1110111100101000…
…0110111000000000
3101100122001020211212
43233022012320000
531204133413344
61502051425252
7201300605333
oct35712067000
911318036755
104012404224
111779996754
1293b8b5228
134bc3756aa
142a0c6261a
151873c579e
hexef286e00

4012404224 has 80 divisors (see below), whose sum is σ = 8163883728. Its totient is φ = 1969815552.

The previous prime is 4012404181. The next prime is 4012404229. The reversal of 4012404224 is 4224042104.

It is a self number, because there is not a number n which added to its sum of digits gives 4012404224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012404229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8591639 + ... + 8592105.

Almost surely, 24012404224 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 4012404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081941864).

4012404224 is an abundant number, since it is smaller than the sum of its proper divisors (4151479504).

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

4012404224 is an equidigital number, since it uses as much as digits as its factorization.

4012404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4012404224 is about 63343.5412966468. The cubic root of 4012404224 is about 1589.0402319233.

Adding to 4012404224 its reverse (4224042104), we get a palindrome (8236446328).

The spelling of 4012404224 in words is "four billion, twelve million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 97 128 173 194 256 346 388 467 512 692 776 934 1384 1552 1868 2768 3104 3736 5536 6208 7472 11072 12416 14944 16781 22144 24832 29888 33562 44288 45299 49664 59776 67124 80791 88576 90598 119552 134248 161582 181196 239104 268496 323164 362392 536992 646328 724784 1073984 1292656 1449568 2147968 2585312 2899136 4295936 5170624 5798272 7836727 8591872 10341248 11596544 15673454 20682496 23193088 31346908 41364992 62693816 125387632 250775264 501550528 1003101056 2006202112 4012404224