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642297780 = 2232518892
BaseRepresentation
bin100110010010001…
…010111110110100
31122202121002220200
4212102022332310
52303412012110
6143422400500
721626304165
oct4622127664
91582532820
10642297780
112aa618913
1215b130130
13a30b8277
146143776c
153b5c56c0
hex2648afb4

642297780 has 54 divisors (see below), whose sum is σ = 1949335206. Its totient is φ = 171188736.

The previous prime is 642297769. The next prime is 642297787. The reversal of 642297780 is 87792246.

642297780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 57335184 + 584962596 = 7572^2 + 24186^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642297787) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 339076 + ... + 340964.

Almost surely, 2642297780 is an apocalyptic number.

642297780 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642297780 is an abundant number, since it is smaller than the sum of its proper divisors (1307037426).

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

642297780 is a wasteful number, since it uses less digits than its factorization.

642297780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 642297780 is about 25343.5944569826. The cubic root of 642297780 is about 862.8039810685.

Multiplying 642297780 by its sum of digits (45), we get a square (28903400100 = 1700102).

642297780 divided by its sum of digits (45) gives a square (14273284 = 37782).

The spelling of 642297780 in words is "six hundred forty-two million, two hundred ninety-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1889 3778 5667 7556 9445 11334 17001 18890 22668 28335 34002 37780 56670 68004 85005 113340 170010 340020 3568321 7136642 10704963 14273284 17841605 21409926 32114889 35683210 42819852 53524815 64229778 71366420 107049630 128459556 160574445 214099260 321148890 642297780