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2874888072 = 2333713913679
BaseRepresentation
bin1010101101011011…
…0100111110001000
321102100121110001000
42223112310332020
521341432404242
61153134455000
7131146100610
oct25326647610
97370543030
102874888072
111245887a61
12682964460
1336a7ba904
141d3b59a40
1511c5cda4c
hexab5b4f88

2874888072 has 128 divisors (see below), whose sum is σ = 9192960000. Its totient is φ = 815427648.

The previous prime is 2874888047. The next prime is 2874888089. The reversal of 2874888072 is 2708884782.

2874888072 is a `hidden beast` number, since 2 + 87 + 488 + 80 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203329 + ... + 217007.

It is an arithmetic number, because the mean of its divisors is an integer number (71820000).

Almost surely, 22874888072 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 2874888072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480000).

2874888072 is an abundant number, since it is smaller than the sum of its proper divisors (6318071928).

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

2874888072 is a wasteful number, since it uses less digits than its factorization.

2874888072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13840 (or 13830 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 2874888072 is about 53617.9827296775. The cubic root of 2874888072 is about 1421.9150370287.

The spelling of 2874888072 in words is "two billion, eight hundred seventy-four million, eight hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 139 168 189 216 252 278 378 417 504 556 756 834 973 1112 1251 1512 1668 1946 2502 2919 3336 3753 3892 5004 5838 7506 7784 8757 10008 11676 13679 15012 17514 23352 26271 27358 30024 35028 41037 52542 54716 70056 82074 95753 105084 109432 123111 164148 191506 210168 246222 287259 328296 369333 383012 492444 574518 738666 766024 861777 984888 1149036 1477332 1723554 1901381 2298072 2585331 2954664 3447108 3802762 5170662 5704143 6894216 7605524 10341324 11408286 13309667 15211048 17112429 20682648 22816572 26619334 34224858 39929001 45633144 51337287 53238668 68449716 79858002 102674574 106477336 119787003 136899432 159716004 205349148 239574006 319432008 359361009 410698296 479148012 718722018 958296024 1437444036 2874888072