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145426656 = 2537012161
BaseRepresentation
bin10001010101100…
…00100011100000
3101010122102212110
420222300203200
5244212123111
622232555320
73414051264
oct1052604340
9333572773
10145426656
11750a9221
1240852b40
132418a39b
14154580a4
15cb795a6
hex8ab08e0

145426656 has 48 divisors (see below), whose sum is σ = 382466448. Its totient is φ = 48384000.

The previous prime is 145426643. The next prime is 145426657. The reversal of 145426656 is 656624541.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1454266562 = 42297824550684672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145426657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66216 + ... + 68376.

It is an arithmetic number, because the mean of its divisors is an integer number (7968051).

Almost surely, 2145426656 is an apocalyptic number.

145426656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145426656 is an abundant number, since it is smaller than the sum of its proper divisors (237039792).

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

145426656 is a wasteful number, since it uses less digits than its factorization.

145426656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2867 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 145426656 is about 12059.2974919769. The cubic root of 145426656 is about 525.8735642365.

The spelling of 145426656 in words is "one hundred forty-five million, four hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 701 1402 2103 2161 2804 4206 4322 5608 6483 8412 8644 11216 12966 16824 17288 22432 25932 33648 34576 51864 67296 69152 103728 207456 1514861 3029722 4544583 6059444 9089166 12118888 18178332 24237776 36356664 48475552 72713328 145426656