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2756234004 = 223176123631
BaseRepresentation
bin1010010001001000…
…1100101100010100
321010002100012020220
42210102030230110
521121043442004
61133255354340
7125205413436
oct24422145424
97102305226
102756234004
111194905447
1264b0829b0
1334c0454c4
141c20b0656
15111e91dd9
hexa448cb14

2756234004 has 72 divisors (see below), whose sum is σ = 6924887424. Its totient is φ = 850291200.

The previous prime is 2756233973. The next prime is 2756234009. The reversal of 2756234004 is 4004326572.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2756234009) 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, 757269 + ... + 760899.

It is an arithmetic number, because the mean of its divisors is an integer number (96178992).

Almost surely, 22756234004 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 2756234004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462443712).

2756234004 is an abundant number, since it is smaller than the sum of its proper divisors (4168653420).

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

2756234004 is a wasteful number, since it uses less digits than its factorization.

2756234004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2756234004 is about 52499.8476569218. The cubic root of 2756234004 is about 1402.0775284541.

The spelling of 2756234004 in words is "two billion, seven hundred fifty-six million, two hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 1037 2074 3111 3631 3721 4148 6222 7262 7442 10893 11163 12444 14524 14884 21786 22326 43572 44652 61727 63257 123454 126514 185181 189771 221491 246908 253028 370362 379542 442982 664473 740724 759084 885964 1328946 2657892 3765347 7530694 11296041 13510951 15061388 22592082 27021902 40532853 45184164 54043804 81065706 162131412 229686167 459372334 689058501 918744668 1378117002 2756234004