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477424242 = 232311276737
BaseRepresentation
bin11100011101001…
…110101001110010
31020021100122221100
4130131032221302
51434210033432
6115212505230
714555016261
oct3435165162
91207318840
10477424242
11225547999
12113a7b216
1377bac469
144759a5d8
152bda907c
hex1c74ea72

477424242 has 48 divisors (see below), whose sum is σ = 1076355072. Its totient is φ = 152772480.

The previous prime is 477424231. The next prime is 477424253. The reversal of 477424242 is 242424774.

It is an interprime number because it is at equal distance from previous prime (477424231) and next prime (477424253).

It is a junction number, because it is equal to n+sod(n) for n = 477424197 and 477424206.

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, 67498 + ... + 74234.

It is an arithmetic number, because the mean of its divisors is an integer number (22424064).

Almost surely, 2477424242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477424242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538177536).

477424242 is an abundant number, since it is smaller than the sum of its proper divisors (598930830).

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

477424242 is a wasteful number, since it uses less digits than its factorization.

477424242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6900 counting only the distinct ones).

The product of its digits is 100352, while the sum is 36.

The square root of 477424242 is about 21850.0398626639. The cubic root of 477424242 is about 781.5704945355.

It can be divided in two parts, 47742 and 4242, that added together give a square (51984 = 2282).

The spelling of 477424242 in words is "four hundred seventy-seven million, four hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 127 186 254 279 381 558 762 1143 2286 3937 6737 7874 11811 13474 20211 23622 35433 40422 60633 70866 121266 208847 417694 626541 855599 1253082 1711198 1879623 2566797 3759246 5133594 7700391 15400782 26523569 53047138 79570707 159141414 238712121 477424242