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3914420832 = 253271941677
BaseRepresentation
bin1110100101010001…
…0101001001100000
3101002210200011220100
43221110111021200
531004042431312
61444231342400
7166001012430
oct35124251140
911083604810
103914420832
111729652343
12912b21a00
134a4c89a5a
14291c382c0
1517d9bd5dc
hexe9515260

3914420832 has 72 divisors (see below), whose sum is σ = 12721874256. Its totient is φ = 1118405376.

The previous prime is 3914420801. The next prime is 3914420863. The reversal of 3914420832 is 2380244193.

It is an interprime number because it is at equal distance from previous prime (3914420801) and next prime (3914420863).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 968823 + ... + 972854.

It is an arithmetic number, because the mean of its divisors is an integer number (176692698).

Almost surely, 23914420832 is an apocalyptic number.

3914420832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3914420832 is an abundant number, since it is smaller than the sum of its proper divisors (8807453424).

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

3914420832 is a wasteful number, since it uses less digits than its factorization.

3914420832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941700 (or 1941689 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3914420832 is about 62565.3325093058. The cubic root of 3914420832 is about 1575.9986386308.

The spelling of 3914420832 in words is "three billion, nine hundred fourteen million, four hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1941677 3883354 5825031 7766708 11650062 13591739 15533416 17475093 23300124 27183478 31066832 34950186 40775217 46600248 54366956 62133664 69900372 81550434 93200496 108733912 122325651 139800744 163100868 186400992 217467824 244651302 279601488 326201736 434935648 489302604 559202976 652403472 978605208 1304806944 1957210416 3914420832