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669774400 = 26526472
BaseRepresentation
bin100111111010111…
…111001001000000
31201200022001202021
4213322333021000
52332430240100
6150243331224
722411663021
oct4772771100
91650261667
10669774400
11314085469
12168380b14
13a89b8819
1464d4ac48
153dc01a1a
hex27ebf240

669774400 has 63 divisors (see below), whose sum is σ = 1650614809. Its totient is φ = 267495680.

The previous prime is 669774383. The next prime is 669774439. The reversal of 669774400 is 4477966.

The square root of 669774400 is 25880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 241118784 + 428655616 = 15528^2 + 20704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1034877 + ... + 1035523.

Almost surely, 2669774400 is an apocalyptic number.

669774400 is the 25880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669774400

669774400 is an abundant number, since it is smaller than the sum of its proper divisors (980840409).

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

669774400 is an frugal number, since it uses more digits than its factorization.

669774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The cubic root of 669774400 is about 874.9357884853.

Multiplying 669774400 by its product of nonzero digits (254016), we get a square (170133413990400 = 130435202).

The spelling of 669774400 in words is "six hundred sixty-nine million, seven hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 647 800 1294 1600 2588 3235 5176 6470 10352 12940 16175 20704 25880 32350 41408 51760 64700 103520 129400 207040 258800 418609 517600 837218 1035200 1674436 2093045 3348872 4186090 6697744 8372180 10465225 13395488 16744360 20930450 26790976 33488720 41860900 66977440 83721800 133954880 167443600 334887200 669774400