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3941281428 = 2237172179907
BaseRepresentation
bin1110101011101011…
…0010111010010100
3101011200012211201020
43222322302322110
531032432001203
61451031201140
7166445224260
oct35272627224
911150184636
103941281428
111742829087
1291bb161b0
134aa702ab6
1429562b0a0
15181027153
hexeaeb2e94

3941281428 has 144 divisors (see below), whose sum is σ = 11239441920. Its totient is φ = 1052757504.

The previous prime is 3941281423. The next prime is 3941281433. The reversal of 3941281428 is 8241821493.

It is an interprime number because it is at equal distance from previous prime (3941281423) and next prime (3941281433).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3941281428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3941281423) 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, 4344951 + ... + 4345857.

It is an arithmetic number, because the mean of its divisors is an integer number (78051680).

Almost surely, 23941281428 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 3941281428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619720960).

3941281428 is an abundant number, since it is smaller than the sum of its proper divisors (7298160492).

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

3941281428 is a wasteful number, since it uses less digits than its factorization.

3941281428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1115 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 3941281428 is about 62779.6258988535. The cubic root of 3941281428 is about 1579.5952373416.

The spelling of 3941281428 in words is "three billion, nine hundred forty-one million, two hundred eighty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 179 204 238 289 357 358 476 537 578 714 716 867 907 1074 1156 1253 1428 1734 1814 2023 2148 2506 2721 3043 3468 3628 3759 4046 5012 5442 6069 6086 6349 7518 8092 9129 10884 12138 12172 12698 15036 15419 18258 19047 21301 24276 25396 30838 36516 38094 42602 46257 51731 61676 63903 76188 85204 92514 103462 107933 127806 155193 162353 185028 206924 215866 255612 262123 310386 323799 324706 362117 431732 487059 524246 620772 647598 649412 724234 786369 974118 1048492 1086351 1136471 1295196 1448468 1572738 1834861 1948236 2172702 2272942 2760001 3145476 3409413 3669722 4345404 4545884 5504583 5520002 6818826 7339444 8280003 11009166 11040004 13637652 16560006 19320007 22018332 33120012 38640014 46920017 57960021 77280028 93840034 115920042 140760051 187680068 231840084 281520102 328440119 563040204 656880238 985320357 1313760476 1970640714 3941281428