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642149748 = 223331191801
BaseRepresentation
bin100110010001100…
…110110101110100
31122202022120212000
4212101212311310
52303342242443
6143415255300
721625116462
oct4621466564
91582276760
10642149748
112aa527679
1215b07a530
13a3065a86
14613d9832
153b5968d3
hex26466d74

642149748 has 48 divisors (see below), whose sum is σ = 1718545920. Its totient is φ = 207144000.

The previous prime is 642149743. The next prime is 642149759. The reversal of 642149748 is 847941246.

642149748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642149743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92553 + ... + 99248.

It is an arithmetic number, because the mean of its divisors is an integer number (35803040).

Almost surely, 2642149748 is an apocalyptic number.

It is an amenable number.

642149748 is an abundant number, since it is smaller than the sum of its proper divisors (1076396172).

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

642149748 is a wasteful number, since it uses less digits than its factorization.

642149748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191845 (or 191837 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 642149748 is about 25340.6737874114. The cubic root of 642149748 is about 862.7376917677.

It can be divided in two parts, 6421 and 49748, that added together give a square (56169 = 2372).

The spelling of 642149748 in words is "six hundred forty-two million, one hundred forty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 191801 383602 575403 767204 1150806 1726209 2301612 3452418 5178627 5945831 6904836 10357254 11891662 17837493 20714508 23783324 35674986 53512479 71349972 107024958 160537437 214049916 321074874 642149748