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2772724428 = 2232237434507
BaseRepresentation
bin1010010101000100…
…0110101011001100
321011020100222212100
42211101012223030
521134304140203
61135045035100
7125465524455
oct24521065314
97136328770
102772724428
1111a31489a1
126546b5a90
1335259a356
141c436412c
1511364cea3
hexa5446acc

2772724428 has 72 divisors (see below), whose sum is σ = 7325031168. Its totient is φ = 882671328.

The previous prime is 2772724421. The next prime is 2772724483. The reversal of 2772724428 is 8244272772.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2772724421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612951 + ... + 617457.

It is an arithmetic number, because the mean of its divisors is an integer number (101736544).

Almost surely, 22772724428 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 2772724428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662515584).

2772724428 is an abundant number, since it is smaller than the sum of its proper divisors (4552306740).

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

2772724428 is a wasteful number, since it uses less digits than its factorization.

2772724428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5283 (or 5278 counting only the distinct ones).

The product of its digits is 702464, while the sum is 45.

The square root of 2772724428 is about 52656.6655609715. The cubic root of 2772724428 is about 1404.8681593423.

The spelling of 2772724428 in words is "two billion, seven hundred seventy-two million, seven hundred twenty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 743 828 1486 2229 2972 4458 4507 6687 8916 9014 13374 13521 17089 18028 26748 27042 34178 40563 51267 54084 68356 81126 102534 103661 153801 162252 205068 207322 307602 310983 414644 615204 621966 932949 1243932 1865898 3348701 3731796 6697402 10046103 13394804 20092206 30138309 40184412 60276618 77020123 120553236 154040246 231060369 308080492 462120738 693181107 924241476 1386362214 2772724428