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1085257026 = 232717349787
BaseRepresentation
bin100000010101111…
…1011010101000010
32210122002202202200
41000223323111002
54210311211101
6255404454030
735615350440
oct10053732502
92718082680
101085257026
11507665737
1226354a316
13143abb329
14a41c1b90
1565422986
hex40afb542

1085257026 has 48 divisors (see below), whose sum is σ = 2702890944. Its totient is φ = 308274912.

The previous prime is 1085257013. The next prime is 1085257051. The reversal of 1085257026 is 6207525801.

It is a happy number.

1085257026 is a `hidden beast` number, since 1 + 0 + 85 + 2 + 570 + 2 + 6 = 666.

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, 3096 + ... + 46691.

It is an arithmetic number, because the mean of its divisors is an integer number (56310228).

Almost surely, 21085257026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085257026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351445472).

1085257026 is an abundant number, since it is smaller than the sum of its proper divisors (1617633918).

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

1085257026 is a wasteful number, since it uses less digits than its factorization.

1085257026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49975 (or 49972 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1085257026 is about 32943.2394581954. The cubic root of 1085257026 is about 1027.6475757273.

The spelling of 1085257026 in words is "one billion, eighty-five million, two hundred fifty-seven thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 519 1038 1211 1557 2422 3114 3633 7266 10899 21798 49787 99574 149361 298722 348509 448083 697018 896166 1045527 2091054 3136581 6273162 8613151 17226302 25839453 51678906 60292057 77518359 120584114 155036718 180876171 361752342 542628513 1085257026