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2407424412 = 2231931477247
BaseRepresentation
bin1000111101111110…
…0110000110011100
320012202222211110010
42033133212012130
514412300040122
61034515243220
7113441525031
oct21737460634
96182884403
102407424412
111025a23658
125722a9510
132c49b80b3
1418ba33388
15e1540e0c
hex8f7e619c

2407424412 has 96 divisors (see below), whose sum is σ = 6234439680. Its totient is φ = 719962560.

The previous prime is 2407424407. The next prime is 2407424413. The reversal of 2407424412 is 2144247042.

It is a self number, because there is not a number n which added to its sum of digits gives 2407424412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2407424413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328573 + ... + 335819.

It is an arithmetic number, because the mean of its divisors is an integer number (64942080).

Almost surely, 22407424412 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 2407424412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117219840).

2407424412 is an abundant number, since it is smaller than the sum of its proper divisors (3827015268).

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

2407424412 is a wasteful number, since it uses less digits than its factorization.

2407424412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7351 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The square root of 2407424412 is about 49065.5114311468. The cubic root of 2407424412 is about 1340.2450750978.

The spelling of 2407424412 in words is "two billion, four hundred seven million, four hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 31 38 47 57 62 76 93 94 114 124 141 186 188 228 282 372 564 589 893 1178 1457 1767 1786 2356 2679 2914 3534 3572 4371 5358 5828 7068 7247 8742 10716 14494 17484 21741 27683 28988 43482 55366 83049 86964 110732 137693 166098 224657 275386 332196 340609 413079 449314 550772 673971 681218 826158 898628 1021827 1347942 1362436 1652316 2043654 2695884 4087308 4268483 6471571 8536966 10558879 12805449 12943142 17073932 19414713 21117758 25610898 25886284 31676637 38829426 42235516 51221796 63353274 77658852 126706548 200618701 401237402 601856103 802474804 1203712206 2407424412