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145392462 = 23337531373
BaseRepresentation
bin10001010101010…
…00001101001110
3101010120200222000
420222220031032
5244210024322
622232133130
73413546505
oct1052501516
9333520860
10145392462
1175085566
12408371a6
1324177957
141544983c
15cb6e3ac
hex8aa834e

145392462 has 64 divisors (see below), whose sum is σ = 338333760. Its totient is φ = 46230912.

The previous prime is 145392439. The next prime is 145392473. The reversal of 145392462 is 264293541.

It is a happy number.

It is a super-2 number, since 2×1453924622 = 42277936012842888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105208 + ... + 106580.

It is an arithmetic number, because the mean of its divisors is an integer number (5286465).

Almost surely, 2145392462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145392462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169166880).

145392462 is an abundant number, since it is smaller than the sum of its proper divisors (192941298).

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

145392462 is a wasteful number, since it uses less digits than its factorization.

145392462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1468 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 145392462 is about 12057.8796643523. The cubic root of 145392462 is about 525.8323449931.

The spelling of 145392462 in words is "one hundred forty-five million, three hundred ninety-two thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 37 53 54 74 106 111 159 222 318 333 477 666 954 999 1373 1431 1961 1998 2746 2862 3922 4119 5883 8238 11766 12357 17649 24714 35298 37071 50801 52947 72769 74142 101602 105894 145538 152403 218307 304806 436614 457209 654921 914418 1309842 1371627 1964763 2692453 2743254 3929526 5384906 8077359 16154718 24232077 48464154 72696231 145392462