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472774420 = 2251710912757
BaseRepresentation
bin11100001011011…
…111011100010100
31012221121102120201
4130023133130110
51432012240140
6114525110244
714500342036
oct3413373424
91187542521
10472774420
11222961468
121123b8384
1376c41ba1
1446b09c56
152b78b49a
hex1c2df714

472774420 has 48 divisors (see below), whose sum is σ = 1060955280. Its totient is φ = 176338944.

The previous prime is 472774417. The next prime is 472774427. The reversal of 472774420 is 24477274.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22146436 + 450627984 = 4706^2 + 21228^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 472774420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472774427) 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, 30682 + ... + 43438.

It is an arithmetic number, because the mean of its divisors is an integer number (22103235).

Almost surely, 2472774420 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 472774420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530477640).

472774420 is an abundant number, since it is smaller than the sum of its proper divisors (588180860).

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

472774420 is a wasteful number, since it uses less digits than its factorization.

472774420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12892 (or 12890 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 37.

The square root of 472774420 is about 21743.3764627300. The cubic root of 472774420 is about 779.0248717288.

The spelling of 472774420 in words is "four hundred seventy-two million, seven hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1090 1853 2180 3706 7412 9265 12757 18530 25514 37060 51028 63785 127570 216869 255140 433738 867476 1084345 1390513 2168690 2781026 4337380 5562052 6952565 13905130 23638721 27810260 47277442 94554884 118193605 236387210 472774420