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145262500 = 225511621
BaseRepresentation
bin10001010100010…
…00011110100100
3101010100002200121
420222020132210
5244141400000
622225251324
73412465555
oct1052103644
9333302617
10145262500
1174aa6959
1240793b44
1324130756
141541432c
15cb45b1a
hex8a887a4

145262500 has 36 divisors (see below), whose sum is σ = 317768724. Its totient is φ = 58100000.

The previous prime is 145262459. The next prime is 145262519. The reversal of 145262500 is 5262541.

It can be written as a sum of positive squares in 6 ways, for example, as 140801956 + 4460544 = 11866^2 + 2112^2 .

It is a super-2 number, since 2×1452625002 = 42202387812500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 6690 + ... + 18310.

It is an arithmetic number, because the mean of its divisors is an integer number (8826909).

Almost surely, 2145262500 is an apocalyptic number.

145262500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145262500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158884362).

145262500 is an abundant number, since it is smaller than the sum of its proper divisors (172506224).

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

145262500 is an equidigital number, since it uses as much as digits as its factorization.

145262500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650 (or 11628 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 145262500 is about 12052.4893694207. The cubic root of 145262500 is about 525.6756229865.

The spelling of 145262500 in words is "one hundred forty-five million, two hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 11621 12500 23242 46484 58105 116210 232420 290525 581050 1162100 1452625 2905250 5810500 7263125 14526250 29052500 36315625 72631250 145262500