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3962113440 = 25358254403
BaseRepresentation
bin1110110000101001…
…0000110110100000
3101020010102012212020
43230022100312200
531103300112230
61453053501440
7200120260065
oct35412206640
911203365766
103962113440
11175356751a
12926aa1880
134b1b17b2c
142982d0c6c
15182c8e810
hexec290da0

3962113440 has 48 divisors (see below), whose sum is σ = 12480658848. Its totient is φ = 1056563456.

The previous prime is 3962113427. The next prime is 3962113451. The reversal of 3962113440 is 443112693.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×39621134402 = 31396685822857267200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 4126722 + ... + 4127681.

It is an arithmetic number, because the mean of its divisors is an integer number (260013726).

Almost surely, 23962113440 is an apocalyptic number.

3962113440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3962113440 is an abundant number, since it is smaller than the sum of its proper divisors (8518545408).

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

3962113440 is a wasteful number, since it uses less digits than its factorization.

3962113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254421 (or 8254413 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3962113440 is about 62945.3210334176. The cubic root of 3962113440 is about 1582.3733812027.

The spelling of 3962113440 in words is "three billion, nine hundred sixty-two million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8254403 16508806 24763209 33017612 41272015 49526418 66035224 82544030 99052836 123816045 132070448 165088060 198105672 247632090 264140896 330176120 396211344 495264180 660352240 792422688 990528360 1320704480 1981056720 3962113440