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2742023772 = 2233172416197
BaseRepresentation
bin1010001101101111…
…1111011001011100
321002002121020111000
42203123333121130
521103424230042
61132031030300
7124643550255
oct24333773134
97062536430
102742023772
11118788a054
1264636b390
1334910b497
141c0251b2c
15110ad674c
hexa36ff65c

2742023772 has 96 divisors (see below), whose sum is σ = 7559576640. Its totient is φ = 856535040.

The previous prime is 2742023759. The next prime is 2742023813. The reversal of 2742023772 is 2773202472.

It is a happy number.

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

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, 439378 + ... + 445574.

It is an arithmetic number, because the mean of its divisors is an integer number (78745590).

Almost surely, 22742023772 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 2742023772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779788320).

2742023772 is an abundant number, since it is smaller than the sum of its proper divisors (4817552868).

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

2742023772 is a wasteful number, since it uses less digits than its factorization.

2742023772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6468 (or 6460 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 2742023772 is about 52364.3368333831. The cubic root of 2742023772 is about 1399.6638260857.

The spelling of 2742023772 in words is "two billion, seven hundred forty-two million, twenty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 241 306 459 482 612 723 918 964 1446 1836 2169 2892 4097 4338 6197 6507 8194 8676 12291 12394 13014 16388 18591 24582 24788 26028 36873 37182 49164 55773 73746 74364 105349 110619 111546 147492 167319 210698 221238 223092 316047 334638 421396 442476 632094 669276 948141 1264188 1493477 1896282 2844423 2986954 3792564 4480431 5688846 5973908 8960862 11377692 13441293 17921724 25389109 26882586 40323879 50778218 53765172 76167327 80647758 101556436 152334654 161295516 228501981 304669308 457003962 685505943 914007924 1371011886 2742023772