Search a number
-
+
3992962248 = 23321126772
BaseRepresentation
bin1110110111111111…
…1100010011001000
3101022021110111110200
43231333330103020
531134144242443
61500115012200
7200643422232
oct35577742310
911267414420
103992962248
111769a17700
1293529a060
134b8329272
1429c441252
15185834dd3
hexedffc4c8

3992962248 has 108 divisors (see below), whose sum is σ = 11904346545. Its totient is φ = 1208201280.

The previous prime is 3992962163. The next prime is 3992962297. The reversal of 3992962248 is 8422692993.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3992962248 is a `hidden beast` number, since 3 + 9 + 9 + 2 + 9 + 622 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2302272324 + 1690689924 = 47982^2 + 41118^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=44682.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3992962194 and 3992962203.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5897686 + ... + 5898362.

Almost surely, 23992962248 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 3992962248

3992962248 is an abundant number, since it is smaller than the sum of its proper divisors (7911384297).

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

3992962248 is a wasteful number, since it uses less digits than its factorization.

3992962248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 693 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 3992962248 is about 63189.8903939546. The cubic root of 3992962248 is about 1586.4695275239.

The spelling of 3992962248 in words is "three billion, nine hundred ninety-two million, nine hundred sixty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 677 726 792 968 1089 1354 1452 2031 2178 2708 2904 4062 4356 5416 6093 7447 8124 8712 12186 14894 16248 22341 24372 29788 44682 48744 59576 67023 81917 89364 134046 163834 178728 245751 268092 327668 458329 491502 536184 655336 737253 916658 983004 1374987 1474506 1833316 1966008 2749974 2949012 3666632 4124961 5041619 5499948 5898024 8249922 10083238 10999896 15124857 16499844 20166476 30249714 32999688 40332952 45374571 55457809 60499428 90749142 110915618 120998856 166373427 181498284 221831236 332746854 362996568 443662472 499120281 665493708 998240562 1330987416 1996481124 3992962248