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474801390 = 232573720369
BaseRepresentation
bin11100010011001…
…110010011101110
31020002102102001200
4130103032103232
51433022121030
6115040350330
714523513420
oct3423162356
91202372050
10474801390
11224016348
121130153a6
13774a168b
14470b6810
152ba3bd60
hex1c4ce4ee

474801390 has 96 divisors (see below), whose sum is σ = 1449040320. Its totient is φ = 105587712.

The previous prime is 474801377. The next prime is 474801391. The reversal of 474801390 is 93108474.

It is a happy number.

474801390 is a `hidden beast` number, since 47 + 480 + 139 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474801391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13126 + ... + 33494.

It is an arithmetic number, because the mean of its divisors is an integer number (15094170).

Almost surely, 2474801390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474801390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724520160).

474801390 is an abundant number, since it is smaller than the sum of its proper divisors (974238930).

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

474801390 is a wasteful number, since it uses less digits than its factorization.

474801390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20426 (or 20423 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 474801390 is about 21789.9378154230. The cubic root of 474801390 is about 780.1366131524.

The spelling of 474801390 in words is "four hundred seventy-four million, eight hundred one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4662 7770 11655 20369 23310 40738 61107 101845 122214 142583 183321 203690 285166 305535 366642 427749 611070 712915 753653 855498 916605 1283247 1425830 1507306 1833210 2138745 2260959 2566494 3768265 4277490 4521918 5275571 6416235 6782877 7536530 10551142 11304795 12832470 13565754 15826713 22609590 26377855 31653426 33914385 47480139 52755710 67828770 79133565 94960278 158267130 237400695 474801390