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1521948042 = 23423974211
BaseRepresentation
bin101101010110111…
…0001010110001010
310221001210222020000
41122231301112022
511104104314132
6411004343430
752500226206
oct13255612612
93831728200
101521948042
117111110aa
12365844b76
131b3408294
141061b7b06
158d93287c
hex5ab7158a

1521948042 has 80 divisors (see below), whose sum is σ = 3596104512. Its totient is φ = 480142080.

The previous prime is 1521948041. The next prime is 1521948049. The reversal of 1521948042 is 2408491251.

1521948042 is a `hidden beast` number, since 1 + 521 + 94 + 8 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1521947988 and 1521948006.

It is not an unprimeable number, because it can be changed into a prime (1521948041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359317 + ... + 363527.

Almost surely, 21521948042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1521948042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798052256).

1521948042 is an abundant number, since it is smaller than the sum of its proper divisors (2074156470).

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

1521948042 is a wasteful number, since it uses less digits than its factorization.

1521948042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1521948042 is about 39012.1524912430. The cubic root of 1521948042 is about 1150.2703943894.

The spelling of 1521948042 in words is "one billion, five hundred twenty-one million, nine hundred forty-eight thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 97 138 162 194 207 291 414 582 621 873 1242 1746 1863 2231 2619 3726 4211 4462 5238 6693 7857 8422 12633 13386 15714 20079 25266 37899 40158 60237 75798 96853 113697 120474 180711 193706 227394 290559 341091 361422 408467 581118 682182 816934 871677 1225401 1743354 2450802 2615031 3676203 5230062 7352406 7845093 9394741 11028609 15690186 18789482 22057218 28184223 33085827 56368446 66171654 84552669 169105338 253658007 507316014 760974021 1521948042