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145804842 = 2323128429
BaseRepresentation
bin10001011000011…
…00111000101010
3101011100122122100
420230030320222
5244311223332
622245034230
73420215001
oct1054147052
9334318570
10145804842
1175337377
12409b5976
1324290571
1415515c38
15cc0167c
hex8b0ce2a

145804842 has 36 divisors (see below), whose sum is σ = 326468610. Its totient is φ = 47028240.

The previous prime is 145804829. The next prime is 145804891. The reversal of 145804842 is 248408541.

It can be written as a sum of positive squares in only one way, i.e., 139499721 + 6305121 = 11811^2 + 2511^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145804797 and 145804806.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13084 + ... + 21512.

Almost surely, 2145804842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145804842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163234305).

145804842 is an abundant number, since it is smaller than the sum of its proper divisors (180663768).

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

145804842 is a wasteful number, since it uses less digits than its factorization.

145804842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8499 (or 8465 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 145804842 is about 12074.9675775962. The cubic root of 145804842 is about 526.3290191899.

The spelling of 145804842 in words is "one hundred forty-five million, eight hundred four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 961 1922 2883 5766 8429 8649 16858 17298 25287 50574 75861 151722 261299 522598 783897 1567794 2351691 4703382 8100269 16200538 24300807 48601614 72902421 145804842