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1942756116 = 223731134177
BaseRepresentation
bin111001111001100…
…0001101100010100
312000101122020101020
41303303001230110
512434321143431
6520440001140
766100104000
oct16363015424
95011566336
101942756116
119076a9474
124627601b0
1324c653a42
14146037700
15b5856696
hex73cc1b14

1942756116 has 96 divisors (see below), whose sum is σ = 5334470400. Its totient is φ = 550029312.

The previous prime is 1942756091. The next prime is 1942756133. The reversal of 1942756116 is 6116572491.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463020 + ... + 467196.

It is an arithmetic number, because the mean of its divisors is an integer number (55567400).

Almost surely, 21942756116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1942756116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667235200).

1942756116 is an abundant number, since it is smaller than the sum of its proper divisors (3391714284).

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

1942756116 is a wasteful number, since it uses less digits than its factorization.

1942756116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4302 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 1942756116 is about 44076.7071819119. The cubic root of 1942756116 is about 1247.7840453708.

The spelling of 1942756116 in words is "one billion, nine hundred forty-two million, seven hundred fifty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 226 294 339 343 452 588 678 686 791 1029 1356 1372 1582 2058 2373 3164 4116 4177 4746 5537 8354 9492 11074 12531 16611 16708 22148 25062 29239 33222 38759 50124 58478 66444 77518 87717 116277 116956 155036 175434 204673 232554 350868 409346 465108 472001 614019 818692 944002 1228038 1416003 1432711 1888004 2456076 2832006 2865422 3304007 4298133 5664012 5730844 6608014 8596266 9912021 13216028 17192532 19824042 23128049 39648084 46256098 69384147 92512196 138768294 161896343 277536588 323792686 485689029 647585372 971378058 1942756116