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3979692828 = 22323143127653
BaseRepresentation
bin1110110100110101…
…0100101100011100
3101021100111100020200
43231031110230130
531122300132303
61454522343500
7200422554666
oct35515245434
911240440220
103979692828
111762484141
1293095ab90
134b5661537
1429a789536
151845b33a3
hexed354b1c

3979692828 has 144 divisors (see below), whose sum is σ = 10725851136. Its totient is φ = 1242138240.

The previous prime is 3979692811. The next prime is 3979692833. The reversal of 3979692828 is 8282969793.

Its product of digits (23514624) is a multiple of the sum of its prime factors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6094150 + ... + 6094802.

Almost surely, 23979692828 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 3979692828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362925568).

3979692828 is an abundant number, since it is smaller than the sum of its proper divisors (6746158308).

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

3979692828 is a wasteful number, since it uses less digits than its factorization.

3979692828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 859 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 3979692828 is about 63084.8066336103. The cubic root of 3979692828 is about 1584.7101909868.

The spelling of 3979692828 in words is "three billion, nine hundred seventy-nine million, six hundred ninety-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 127 129 172 186 254 258 279 372 381 387 508 516 558 653 762 774 1116 1143 1306 1333 1524 1548 1959 2286 2612 2666 3918 3937 3999 4572 5332 5461 5877 7836 7874 7998 10922 11754 11811 11997 15748 15996 16383 20243 21844 23508 23622 23994 28079 32766 35433 40486 47244 47988 49149 56158 60729 65532 70866 80972 82931 84237 98298 112316 121458 141732 165862 168474 169291 182187 196596 242916 248793 252711 331724 336948 338582 364374 497586 505422 507873 677164 728748 746379 870449 995172 1010844 1015746 1492758 1523619 1740898 2031492 2570861 2611347 2985516 3047238 3481796 3566033 5141722 5222694 6094476 7132066 7712583 7834041 10283444 10445388 10698099 14264132 15425166 15668082 21396198 23137749 30850332 31336164 32094297 42792396 46275498 64188594 92550996 110547023 128377188 221094046 331641069 442188092 663282138 994923207 1326564276 1989846414 3979692828