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1382643696 = 243731313147
BaseRepresentation
bin101001001101001…
…0111011111110000
310120100200120120210
41102122113133300
510312424044241
6345110504120
746156164120
oct12232273760
93510616523
101382643696
1164a514745
12327065040
131905b2785
14d18b4c80
15815b7316
hex526977f0

1382643696 has 80 divisors (see below), whose sum is σ = 4095444224. Its totient is φ = 393748992.

The previous prime is 1382643683. The next prime is 1382643707. The reversal of 1382643696 is 6963462831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98595 + ... + 111741.

Almost surely, 21382643696 is an apocalyptic number.

1382643696 is a gapful number since it is divisible by the number (16) 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 1382643696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047722112).

1382643696 is an abundant number, since it is smaller than the sum of its proper divisors (2712800528).

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

1382643696 is a wasteful number, since it uses less digits than its factorization.

1382643696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478 (or 13472 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 1382643696 is about 37183.9171685824. The cubic root of 1382643696 is about 1114.0467755168.

The spelling of 1382643696 in words is "one billion, three hundred eighty-two million, six hundred forty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 313 336 626 939 1252 1878 2191 2504 3756 4382 5008 6573 7512 8764 13146 13147 15024 17528 26292 26294 35056 39441 52584 52588 78882 92029 105168 105176 157764 184058 210352 276087 315528 368116 552174 631056 736232 1104348 1472464 2208696 4115011 4417392 8230022 12345033 16460044 24690066 28805077 32920088 49380132 57610154 65840176 86415231 98760264 115220308 172830462 197520528 230440616 345660924 460881232 691321848 1382643696