Search a number
-
+
7935142032 = 243255105153
BaseRepresentation
bin1110110001111100…
…01010100010010000
3202111000100222111100
413120332022202100
5112222344021112
63351221344400
7400432410606
oct73076124220
922430328440
107935142032
1134021a9724
121655568100
13995c84c1c
14553c23876
153169882dc
hex1d8f8a890

7935142032 has 30 divisors (see below), whose sum is σ = 22207377062. Its totient is φ = 2645047296.

The previous prime is 7935141997. The next prime is 7935142051. The reversal of 7935142032 is 2302415397.

7935142032 is a `hidden beast` number, since 7 + 93 + 514 + 20 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5505046416 + 2430095616 = 74196^2 + 49296^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27552433 + ... + 27552720.

Almost surely, 27935142032 is an apocalyptic number.

7935142032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7935142032 is an abundant number, since it is smaller than the sum of its proper divisors (14272235030).

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

7935142032 is a wasteful number, since it uses less digits than its factorization.

7935142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55105167 (or 55105158 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7935142032 is about 89079.4141875664. The cubic root of 7935142032 is about 1994.5804970921.

The spelling of 7935142032 in words is "seven billion, nine hundred thirty-five million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 55105153 110210306 165315459 220420612 330630918 440841224 495946377 661261836 881682448 991892754 1322523672 1983785508 2645047344 3967571016 7935142032