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145755450 = 23452172973
BaseRepresentation
bin10001011000000…
…00110100111010
3101011021010220000
420230000310322
5244303133300
622244013430
73416621001
oct1054006472
9334233800
10145755450
1175303255
1240991276
1324273c39
1415501c38
15cbe1c00
hex8b00d3a

145755450 has 240 divisors, whose sum is σ = 449669880. Its totient is φ = 34836480.

The previous prime is 145755443. The next prime is 145755473. The reversal of 145755450 is 54557541.

145755450 is a `hidden beast` number, since 1 + 4 + 57 + 554 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 26967249 + 118788201 = 5193^2 + 10899^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1996614 + ... + 1996686.

Almost surely, 2145755450 is an apocalyptic number.

145755450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145755450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224834940).

145755450 is an abundant number, since it is smaller than the sum of its proper divisors (303914430).

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

145755450 is a wasteful number, since it uses less digits than its factorization.

145755450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The square root of 145755450 is about 12072.9221814770. The cubic root of 145755450 is about 526.2695804256.

The spelling of 145755450 in words is "one hundred forty-five million, seven hundred fifty-five thousand, four hundred fifty".