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145559232 = 26327132777
BaseRepresentation
bin10001010110100…
…00111011000000
3101010220011201200
420223100323000
5244230343412
622235501200
73415142640
oct1053207300
9333804650
10145559232
1175189895
12408b7800
1324205830
1415490520
15cba39dc
hex8ad0ec0

145559232 has 168 divisors, whose sum is σ = 513685536. Its totient is φ = 38375424.

The previous prime is 145559231. The next prime is 145559243. The reversal of 145559232 is 232955541.

It is a happy number.

145559232 is a `hidden beast` number, since 14 + 55 + 592 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145559231) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51028 + ... + 53804.

It is an arithmetic number, because the mean of its divisors is an integer number (3057652).

Almost surely, 2145559232 is an apocalyptic number.

145559232 is a gapful number since it is divisible by the number (12) 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 145559232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256842768).

145559232 is an abundant number, since it is smaller than the sum of its proper divisors (368126304).

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

145559232 is a wasteful number, since it uses less digits than its factorization.

145559232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2802 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 145559232 is about 12064.7930773802. The cubic root of 145559232 is about 526.0333172475.

The spelling of 145559232 in words is "one hundred forty-five million, five hundred fifty-nine thousand, two hundred thirty-two".