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474248484 = 2232293171433
BaseRepresentation
bin11100010001000…
…111010100100100
31020001101022121200
4130101013110210
51432401422414
6115020442500
714516021433
oct3421072444
91201338550
10474248484
112237789a6
121129a9430
1377339b08
1446db111a
152b97d109
hex1c447524

474248484 has 72 divisors (see below), whose sum is σ = 1244912760. Its totient is φ = 152044032.

The previous prime is 474248479. The next prime is 474248497. The reversal of 474248484 is 484842474.

474248484 is a `hidden beast` number, since 474 + 24 + 84 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44515584 + 429732900 = 6672^2 + 20730^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330232 + ... + 331664.

It is an arithmetic number, because the mean of its divisors is an integer number (17290455).

Almost surely, 2474248484 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 474248484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622456380).

474248484 is an abundant number, since it is smaller than the sum of its proper divisors (770664276).

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

474248484 is a wasteful number, since it uses less digits than its factorization.

474248484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1784 counting only the distinct ones).

The product of its digits is 917504, while the sum is 45.

The square root of 474248484 is about 21777.2469334395. The cubic root of 474248484 is about 779.8336726216.

The spelling of 474248484 in words is "four hundred seventy-four million, two hundred forty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 317 348 522 634 951 1044 1268 1433 1902 2853 2866 3804 4299 5706 5732 8598 9193 11412 12897 17196 18386 25794 27579 36772 41557 51588 55158 82737 83114 110316 124671 165474 166228 249342 330948 374013 454261 498684 748026 908522 1362783 1496052 1817044 2725566 4088349 5451132 8176698 13173569 16353396 26347138 39520707 52694276 79041414 118562121 158082828 237124242 474248484