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474644640 = 25357912517
BaseRepresentation
bin11100010010101…
…000000010100000
31020002010110001010
4130102220002200
51433002112030
6115033140520
714522261421
oct3422500240
91202113033
10474644640
11223a195a8
12112b5a740
1377448222
1447075648
152ba0a6b0
hex1c4a80a0

474644640 has 96 divisors (see below), whose sum is σ = 1514177280. Its totient is φ = 124959744.

The previous prime is 474644633. The next prime is 474644647. The reversal of 474644640 is 46446474.

It is an interprime number because it is at equal distance from previous prime (474644633) and next prime (474644647).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (474644647) 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, 31662 + ... + 44178.

It is an arithmetic number, because the mean of its divisors is an integer number (15772680).

Almost surely, 2474644640 is an apocalyptic number.

474644640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757088640).

474644640 is an abundant number, since it is smaller than the sum of its proper divisors (1039532640).

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

474644640 is a wasteful number, since it uses less digits than its factorization.

474644640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12606 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The square root of 474644640 is about 21786.3406748357. The cubic root of 474644640 is about 780.0507527791.

The spelling of 474644640 in words is "four hundred seventy-four million, six hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 632 790 948 1185 1264 1580 1896 2370 2528 3160 3792 4740 6320 7584 9480 12517 12640 18960 25034 37551 37920 50068 62585 75102 100136 125170 150204 187755 200272 250340 300408 375510 400544 500680 600816 751020 988843 1001360 1201632 1502040 1977686 2002720 2966529 3004080 3955372 4944215 5933058 6008160 7910744 9888430 11866116 14832645 15821488 19776860 23732232 29665290 31642976 39553720 47464464 59330580 79107440 94928928 118661160 158214880 237322320 474644640