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3957202980 = 2232561734937
BaseRepresentation
bin1110101111011110…
…0010000000100100
3101012210011201222100
43223313202000210
531101020443410
61452400332100
7200030445633
oct35367420044
911183151870
103957202980
111750813195
12925314030
134b0ab8a33
142977b351a
1518261e8c0
hexebde2024

3957202980 has 144 divisors (see below), whose sum is σ = 12369927024. Its totient is φ = 1023528960.

The previous prime is 3957202967. The next prime is 3957202981. The reversal of 3957202980 is 892027593.

It can be written as a sum of positive squares in 8 ways, for example, as 522305316 + 3434897664 = 22854^2 + 58608^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3957202981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799072 + ... + 804008.

It is an arithmetic number, because the mean of its divisors is an integer number (85902271).

Almost surely, 23957202980 is an apocalyptic number.

3957202980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957202980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184963512).

3957202980 is an abundant number, since it is smaller than the sum of its proper divisors (8412724044).

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

3957202980 is a wasteful number, since it uses less digits than its factorization.

3957202980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3957202980 is about 62906.3031817957. The cubic root of 3957202980 is about 1581.7194041839.

The spelling of 3957202980 in words is "three billion, nine hundred fifty-seven million, two hundred two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 73 90 122 146 180 183 219 244 292 305 365 366 438 549 610 657 730 732 876 915 1095 1098 1220 1314 1460 1830 2190 2196 2628 2745 3285 3660 4380 4453 4937 5490 6570 8906 9874 10980 13140 13359 14811 17812 19748 22265 24685 26718 29622 40077 44433 44530 49370 53436 59244 66795 74055 80154 88866 89060 98740 133590 148110 160308 177732 200385 222165 267180 296220 301157 360401 400770 444330 602314 720802 801540 888660 903471 1081203 1204628 1441604 1505785 1802005 1806942 2162406 2710413 3011570 3243609 3604010 3613884 4324812 4517355 5406015 5420826 6023140 6487218 7208020 9034710 10812030 10841652 12974436 13552065 16218045 18069420 21624060 21984461 27104130 32436090 43968922 54208260 64872180 65953383 87937844 109922305 131906766 197860149 219844610 263813532 329766915 395720298 439689220 659533830 791440596 989300745 1319067660 1978601490 3957202980