Search a number
-
+
2061752832 = 2933149143
BaseRepresentation
bin111101011100011…
…1101101000000000
312022200112220012000
41322320331220000
513210302042312
6540330304000
7102043416126
oct17270755000
95280486160
102061752832
11968895467
12496588000
1326b1b90b9
14157b71916
15c100eadc
hex7ae3da00

2061752832 has 80 divisors (see below), whose sum is σ = 6102972480. Its totient is φ = 687246336.

The previous prime is 2061752761. The next prime is 2061752839. The reversal of 2061752832 is 2382571602.

2061752832 is a `hidden beast` number, since 2 + 0 + 617 + 5 + 2 + 8 + 32 = 666.

It is a super-3 number, since 3×20617528323 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2061752839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60748 + ... + 88395.

It is an arithmetic number, because the mean of its divisors is an integer number (76287156).

Almost surely, 22061752832 is an apocalyptic number.

It is an amenable number.

2061752832 is an abundant number, since it is smaller than the sum of its proper divisors (4041219648).

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

2061752832 is an equidigital number, since it uses as much as digits as its factorization.

2061752832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149170 (or 149148 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2061752832 is about 45406.5285173839. The cubic root of 2061752832 is about 1272.7571142341.

The spelling of 2061752832 in words is "two billion, sixty-one million, seven hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 149143 298286 447429 596572 894858 1193144 1342287 1789716 2386288 2684574 3579432 4026861 4772576 5369148 7158864 8053722 9545152 10738296 14317728 16107444 19090304 21476592 28635456 32214888 38180608 42953184 57270912 64429776 76361216 85906368 114541824 128859552 171812736 229083648 257719104 343625472 515438208 687250944 1030876416 2061752832