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4293624 = 2332931199
BaseRepresentation
bin10000011000001111111000
322002010202010
4100120033320
52044343444
6232005520
751331566
oct20301770
98063663
104293624
112472955
1215308a0
13b7440a
147daa36
1559c2b9
hex4183f8

4293624 has 64 divisors (see below), whose sum is σ = 11520000. Its totient is φ = 1330560.

The previous prime is 4293623. The next prime is 4293629. The reversal of 4293624 is 4263924.

It is a d-powerful number, because it can be written as 4 + 27 + 92 + 39 + 66 + 215 + 411 .

It is a junction number, because it is equal to n+sod(n) for n = 4293591 and 4293600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4293623) 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, 21477 + ... + 21675.

It is an arithmetic number, because the mean of its divisors is an integer number (180000).

Almost surely, 24293624 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 4293624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760000).

4293624 is an abundant number, since it is smaller than the sum of its proper divisors (7226376).

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

4293624 is a wasteful number, since it uses less digits than its factorization.

4293624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 4293624 is about 2072.1061748858. The cubic root of 4293624 is about 162.5329195634.

The spelling of 4293624 in words is "four million, two hundred ninety-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 199 232 248 348 372 398 597 696 744 796 899 1194 1592 1798 2388 2697 3596 4776 5394 5771 6169 7192 10788 11542 12338 17313 18507 21576 23084 24676 34626 37014 46168 49352 69252 74028 138504 148056 178901 357802 536703 715604 1073406 1431208 2146812 4293624