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3929014845 = 3257191673931
BaseRepresentation
bin1110101000110000…
…0000001000111101
3101010211010122010100
43222030000020331
531021311433340
61445512231313
7166236034530
oct35214001075
911124118110
103929014845
111736910008
1291799b539
134a7cc9672
14293b56a17
1517ee02830
hexea30023d

3929014845 has 96 divisors (see below), whose sum is σ = 8243988480. Its totient is φ = 1690968960.

The previous prime is 3929014729. The next prime is 3929014853. The reversal of 3929014845 is 5484109293.

It is not a de Polignac number, because 3929014845 - 211 = 3929012797 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3929014845.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 997530 + ... + 1001460.

It is an arithmetic number, because the mean of its divisors is an integer number (85874880).

Almost surely, 23929014845 is an apocalyptic number.

3929014845 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3929014845 is an abundant number, since it is smaller than the sum of its proper divisors (4314973635).

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

3929014845 is a wasteful number, since it uses less digits than its factorization.

3929014845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3929014845 is about 62681.8541924216. The cubic root of 3929014845 is about 1577.9547917962.

The spelling of 3929014845 in words is "three billion, nine hundred twenty-nine million, fourteen thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 167 171 285 315 399 501 665 835 855 1169 1197 1503 1995 2505 3173 3507 3931 5845 5985 7515 9519 10521 11793 15865 17535 19655 22211 27517 28557 35379 47595 52605 58965 66633 74689 82551 111055 137585 142785 176895 199899 224067 247653 333165 373445 412755 522823 656477 672201 999495 1120335 1238265 1568469 1969431 2614115 3282385 3361005 4595339 4705407 5908293 7842345 9847155 12473063 13786017 22976695 23527035 29541465 37419189 41358051 62365315 68930085 87311441 112257567 187095945 206790255 261934323 436557205 561287835 785802969 1309671615 3929014845