[go: up one dir, main page]

Search a number
-
+
1969052832 = 253225127239
BaseRepresentation
bin111010101011101…
…0101110010100000
312002020010020200200
41311113111302200
513013034142312
6523215345200
766536446545
oct16527256240
95066106620
101969052832
1192052a59a
1246b522200
13254c30226
14149720bcc
15b7ced0dc
hex755d5ca0

1969052832 has 72 divisors (see below), whose sum is σ = 5622009120. Its totient is φ = 653712000.

The previous prime is 1969052809. The next prime is 1969052849. The reversal of 1969052832 is 2382509691.

1969052832 is a `hidden beast` number, since 1 + 9 + 6 + 90 + 528 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58669 + ... + 85907.

It is an arithmetic number, because the mean of its divisors is an integer number (78083460).

Almost surely, 21969052832 is an apocalyptic number.

1969052832 is a gapful number since it is divisible by the number (12) 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 1969052832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811004560).

1969052832 is an abundant number, since it is smaller than the sum of its proper divisors (3652956288).

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

1969052832 is a wasteful number, since it uses less digits than its factorization.

1969052832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27506 (or 27495 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1969052832 is about 44374.0107720724. The cubic root of 1969052832 is about 1253.3887423318.

The spelling of 1969052832 in words is "one billion, nine hundred sixty-nine million, fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 251 288 502 753 1004 1506 2008 2259 3012 4016 4518 6024 8032 9036 12048 18072 24096 27239 36144 54478 72288 81717 108956 163434 217912 245151 326868 435824 490302 653736 871648 980604 1307472 1961208 2614944 3922416 6836989 7844832 13673978 20510967 27347956 41021934 54695912 61532901 82043868 109391824 123065802 164087736 218783648 246131604 328175472 492263208 656350944 984526416 1969052832