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2742051924 = 2232175478191
BaseRepresentation
bin1010001101110000…
…0110010001010100
321002002122200002200
42203130012101110
521103431130144
61132031404500
7124644025323
oct24334062124
97062580080
102742051924
1111878a9217
12646383730
1334911b241
141c025c0ba
15110adec69
hexa3706454

2742051924 has 72 divisors (see below), whose sum is σ = 7353335808. Its totient is φ = 858574080.

The previous prime is 2742051913. The next prime is 2742051971. The reversal of 2742051924 is 4291502472.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330669 + ... + 338859.

It is an arithmetic number, because the mean of its divisors is an integer number (102129664).

Almost surely, 22742051924 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 2742051924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676667904).

2742051924 is an abundant number, since it is smaller than the sum of its proper divisors (4611283884).

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

2742051924 is a wasteful number, since it uses less digits than its factorization.

2742051924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2742051924 is about 52364.6056415973. The cubic root of 2742051924 is about 1399.6686161245.

The spelling of 2742051924 in words is "two billion, seven hundred forty-two million, fifty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 547 612 1094 1641 2188 3282 4923 6564 8191 9299 9846 16382 18598 19692 24573 27897 32764 37196 49146 55794 73719 83691 98292 111588 139247 147438 167382 278494 294876 334764 417741 556988 835482 1253223 1670964 2506446 4480477 5012892 8960954 13441431 17921908 26882862 40324293 53765724 76168109 80648586 152336218 161297172 228504327 304672436 457008654 685512981 914017308 1371025962 2742051924