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3988300524 = 22313101269941
BaseRepresentation
bin1110110110111000…
…1010001011101100
3101021221200122210020
43231232022023230
531132001104044
61455431042140
7200555665215
oct35556121354
911257618706
103988300524
11176732323a
12933810350
134b7386450
1429b98a40c
15185213a19
hexedb8a2ec

3988300524 has 96 divisors (see below), whose sum is σ = 10169530560. Its totient is φ = 1209216000.

The previous prime is 3988300427. The next prime is 3988300529. The reversal of 3988300524 is 4250038893.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3988300529) 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, 4237894 + ... + 4238834.

It is an arithmetic number, because the mean of its divisors is an integer number (105932610).

Almost surely, 23988300524 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 3988300524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084765280).

3988300524 is an abundant number, since it is smaller than the sum of its proper divisors (6181230036).

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

3988300524 is a wasteful number, since it uses less digits than its factorization.

3988300524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3988300524 is about 63152.9929932066. The cubic root of 3988300524 is about 1585.8518939145.

The spelling of 3988300524 in words is "three billion, nine hundred eighty-eight million, three hundred thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 269 303 404 538 606 807 941 1076 1212 1313 1614 1882 2626 2823 3228 3497 3764 3939 5252 5646 6994 7878 10491 11292 12233 13988 15756 20982 24466 27169 36699 41964 48932 54338 73398 81507 95041 108676 146796 163014 190082 253129 285123 326028 353197 380164 506258 570246 706394 759387 1012516 1059591 1140492 1235533 1412788 1518774 2119182 2471066 3037548 3290677 3706599 4238364 4942132 6581354 7413198 9872031 13162708 14826396 19744062 25566029 39488124 51132058 76698087 102264116 153396174 306792348 332358377 664716754 997075131 1329433508 1994150262 3988300524