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4091438032 = 2411315314149
BaseRepresentation
bin1111001111011110…
…0110001111010000
3101120010202120211221
43303313212033100
531334402004112
61513553414424
7203250435523
oct36367461720
911503676757
104091438032
11180a567a50
1296226a414
13502858066
142ab556bba
1518e2d7e07
hexf3de63d0

4091438032 has 80 divisors (see below), whose sum is σ = 9095846400. Its totient is φ = 1765670400.

The previous prime is 4091438023. The next prime is 4091438101. The reversal of 4091438032 is 2308341904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282094 + ... + 296242.

It is an arithmetic number, because the mean of its divisors is an integer number (113698080).

Almost surely, 24091438032 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 4091438032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547923200).

4091438032 is an abundant number, since it is smaller than the sum of its proper divisors (5004408368).

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

4091438032 is a wasteful number, since it uses less digits than its factorization.

4091438032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14252 (or 14246 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 4091438032 is about 63964.3496957485. The cubic root of 4091438032 is about 1599.4057730863.

Adding to 4091438032 its reverse (2308341904), we get a palindrome (6399779936).

The spelling of 4091438032 in words is "four billion, ninety-one million, four hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 53 62 88 106 124 176 212 248 341 424 496 583 682 848 1166 1364 1643 2332 2728 3286 4664 5456 6572 9328 13144 14149 18073 26288 28298 36146 56596 72292 113192 144584 155639 226384 289168 311278 438619 622556 749897 877238 1245112 1499794 1754476 2490224 2999588 3508952 4824809 5999176 7017904 8248867 9649618 11998352 16497734 19299236 23246807 32995468 38598472 46493614 65990936 77196944 92987228 131981872 185974456 255714877 371948912 511429754 1022859508 2045719016 4091438032