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424131612 = 223295032423
BaseRepresentation
bin11001010001111…
…011110000011100
31002120002010012020
4121101323300130
51332034202422
6110030340140
713340026212
oct3121736034
91076063166
10424131612
111a84583a3
12ba05a650
1369b40468
1440486cb2
152737d95c
hex1947bc1c

424131612 has 48 divisors (see below), whose sum is σ = 1026224640. Its totient is φ = 136174528.

The previous prime is 424131611. The next prime is 424131667. The reversal of 424131612 is 216131424.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424131611) 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, 173833 + ... + 176255.

It is an arithmetic number, because the mean of its divisors is an integer number (21379680).

Almost surely, 2424131612 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 424131612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513112320).

424131612 is an abundant number, since it is smaller than the sum of its proper divisors (602093028).

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

424131612 is a wasteful number, since it uses less digits than its factorization.

424131612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2960 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 424131612 is about 20594.4558558851. The cubic root of 424131612 is about 751.3348742935.

It can be divided in two parts, 4241316 and 12, that added together give a triangular number (4241328 = T2912).

The spelling of 424131612 in words is "four hundred twenty-four million, one hundred thirty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 503 1006 1509 2012 2423 3018 4846 6036 7269 9692 14538 14587 29076 29174 43761 58348 70267 87522 140534 175044 210801 281068 421602 843204 1218769 2437538 3656307 4875076 7312614 14625228 35344301 70688602 106032903 141377204 212065806 424131612