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3972928284 = 22331321113411
BaseRepresentation
bin1110110011001110…
…0001001100011100
3101020212202200001000
43230303201030130
531114032201114
61454121350300
7200311222203
oct35463411434
911225680030
103972928284
111759683906
1292a638390
134b4133550
1429990823a
15183bc8e09
hexecce131c

3972928284 has 96 divisors (see below), whose sum is σ = 11145908480. Its totient is φ = 1216555200.

The previous prime is 3972928277. The next prime is 3972928313. The reversal of 3972928284 is 4828292793.

It is a happy number.

3972928284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3972928284.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289539 + ... + 302949.

Almost surely, 23972928284 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 3972928284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572954240).

3972928284 is an abundant number, since it is smaller than the sum of its proper divisors (7172980196).

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

3972928284 is a wasteful number, since it uses less digits than its factorization.

3972928284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13648 (or 13640 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 3972928284 is about 63031.1691467007. The cubic root of 3972928284 is about 1583.8118032838.

The spelling of 3972928284 in words is "three billion, nine hundred seventy-two million, nine hundred twenty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 211 234 351 422 468 633 702 844 1266 1404 1899 2532 2743 3798 5486 5697 7596 8229 10972 11394 13411 16458 22788 24687 26822 32916 40233 49374 53644 74061 80466 98748 120699 148122 160932 174343 241398 296244 348686 362097 482796 523029 697372 724194 1046058 1448388 1569087 2092116 2829721 3138174 4707261 5659442 6276348 8489163 9414522 11318884 16978326 18829044 25467489 33956652 36786373 50934978 73572746 76402467 101869956 110359119 147145492 152804934 220718238 305609868 331077357 441436476 662154714 993232071 1324309428 1986464142 3972928284