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3997021284 = 22324122572
BaseRepresentation
bin1110111000111101…
…1011010001100100
3101022120002201102100
43232033123101210
531141214140114
61500342012100
7201023056164
oct35617332144
911276081370
103997021284
11177123a283
12936717030
134b911a969
1429cbba5a4
15185d87909
hexee3db464

3997021284 has 81 divisors (see below), whose sum is σ = 10396473451. Its totient is φ = 1294786560.

The previous prime is 3997021277. The next prime is 3997021337. The reversal of 3997021284 is 4821207993.

The square root of 3997021284 is 63222.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37088100 + 3959933184 = 6090^2 + 62928^2 .

It is a Duffinian number.

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, 15552484 + ... + 15552740.

Almost surely, 23997021284 is an apocalyptic number.

3997021284 is the 63222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997021284

3997021284 is an abundant number, since it is smaller than the sum of its proper divisors (6399452167).

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

3997021284 is a wasteful number, since it uses less digits than its factorization.

3997021284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 3997021284 is about 1587.0069193753.

The spelling of 3997021284 in words is "three billion, nine hundred ninety-seven million, twenty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 257 369 492 514 738 771 1028 1476 1542 1681 2313 3084 3362 4626 5043 6724 9252 10086 10537 15129 20172 21074 30258 31611 42148 60516 63222 66049 94833 126444 132098 189666 198147 264196 379332 396294 432017 594441 792588 864034 1188882 1296051 1728068 2377764 2592102 2708009 3888153 5184204 5416018 7776306 8124027 10832036 15552612 16248054 24372081 32496108 48744162 97488324 111028369 222056738 333085107 444113476 666170214 999255321 1332340428 1998510642 3997021284