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2742329052 = 22321919920147
BaseRepresentation
bin1010001101110100…
…1001111011011100
321002010011202020200
42203131021323130
521104014012202
61132041343500
7124646261301
oct24335117334
97063152220
102742329052
111187a78451
12646497b90
133491b7418
141c02d10a8
15110b46e1c
hexa3749edc

2742329052 has 72 divisors (see below), whose sum is σ = 7333872000. Its totient is φ = 861604128.

The previous prime is 2742329039. The next prime is 2742329053. The reversal of 2742329052 is 2509232472.

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

It is a junction number, because it is equal to n+sod(n) for n = 2742328998 and 2742329016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742329053) 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, 126043 + ... + 146189.

Almost surely, 22742329052 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 2742329052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666936000).

2742329052 is an abundant number, since it is smaller than the sum of its proper divisors (4591542948).

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

2742329052 is a wasteful number, since it uses less digits than its factorization.

2742329052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20375 (or 20370 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2742329052 is about 52367.2517132606. The cubic root of 2742329052 is about 1399.7157674682.

The spelling of 2742329052 in words is "two billion, seven hundred forty-two million, three hundred twenty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 199 228 342 398 597 684 796 1194 1791 2388 3582 3781 7164 7562 11343 15124 20147 22686 34029 40294 45372 60441 68058 80588 120882 136116 181323 241764 362646 382793 725292 765586 1148379 1531172 2296758 3445137 4009253 4593516 6890274 8018506 12027759 13780548 16037012 24055518 36083277 48111036 72166554 76175807 144333108 152351614 228527421 304703228 457054842 685582263 914109684 1371164526 2742329052