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1426052772 = 22321072391549
BaseRepresentation
bin101010011111111…
…1101011010100100
310200101100222122100
41110333331122210
510410032142042
6353301132100
750224151154
oct12477753244
93611328570
101426052772
11671a73611
123396ba030
131995a0c11
14d7574764
15852de24c
hex54ffd6a4

1426052772 has 72 divisors (see below), whose sum is σ = 3656016000. Its totient is φ = 468635328.

The previous prime is 1426052767. The next prime is 1426052783. The reversal of 1426052772 is 2772506241.

It is a happy number.

1426052772 is a `hidden beast` number, since 1 + 4 + 2 + 60 + 527 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919854 + ... + 921402.

It is an arithmetic number, because the mean of its divisors is an integer number (50778000).

Almost surely, 21426052772 is an apocalyptic number.

1426052772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1426052772 is an abundant number, since it is smaller than the sum of its proper divisors (2229963228).

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

1426052772 is a wasteful number, since it uses less digits than its factorization.

1426052772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1426052772 is about 37763.1139076215. The cubic root of 1426052772 is about 1125.5856103712.

The spelling of 1426052772 in words is "one billion, four hundred twenty-six million, fifty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 239 321 428 478 642 717 956 963 1284 1434 1549 1926 2151 2868 3098 3852 4302 4647 6196 8604 9294 13941 18588 25573 27882 51146 55764 76719 102292 153438 165743 230157 306876 331486 370211 460314 497229 662972 740422 920628 994458 1110633 1480844 1491687 1988916 2221266 2983374 3331899 4442532 5966748 6663798 13327596 39612577 79225154 118837731 158450308 237675462 356513193 475350924 713026386 1426052772