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9928924840 = 235374723037
BaseRepresentation
bin10010011111100111…
…10101111010101000
3221121222000122100001
421033303311322220
5130313301043330
64321123152344
7501022316512
oct111763657250
927558018301
109928924840
11423568a20a
121b112156b4
13c23063473
146a2940bb2
153d1a1d9ca
hex24fcf5ea8

9928924840 has 96 divisors (see below), whose sum is σ = 23450139720. Its totient is φ = 3780767232.

The previous prime is 9928924813. The next prime is 9928924849. The reversal of 9928924840 is 484298299.

It can be written as a sum of positive squares in 4 ways, for example, as 9909406116 + 19518724 = 99546^2 + 4418^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9928924849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3267802 + ... + 3270838.

Almost surely, 29928924840 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 9928924840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725069860).

9928924840 is an abundant number, since it is smaller than the sum of its proper divisors (13521214880).

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

9928924840 is a wasteful number, since it uses less digits than its factorization.

9928924840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The square root of 9928924840 is about 99643.9904861302. The cubic root of 9928924840 is about 2149.3183229210.

The spelling of 9928924840 in words is "nine billion, nine hundred twenty-eight million, nine hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 47 74 94 148 185 188 235 296 370 376 470 740 940 1480 1739 1880 2209 3037 3478 4418 6074 6956 8695 8836 11045 12148 13912 15185 17390 17672 22090 24296 30370 34780 44180 60740 69560 81733 88360 112369 121480 142739 163466 224738 285478 326932 408665 449476 561845 570956 653864 713695 817330 898952 1123690 1141912 1427390 1634660 2247380 2854780 3269320 4494760 5281343 5709560 6708733 10562686 13417466 21125372 26406715 26834932 33543665 42250744 52813430 53669864 67087330 105626860 134174660 211253720 248223121 268349320 496446242 992892484 1241115605 1985784968 2482231210 4964462420 9928924840