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145528350 = 23521189991
BaseRepresentation
bin10001010110010…
…01011000011110
3101010211121100220
420223021120132
5244223401400
622235102210
73414653622
oct1053113036
9333747326
10145528350
1175168670
12408a1966
13241c4766
1415483182
15cb997a0
hex8ac961e

145528350 has 96 divisors (see below), whose sum is σ = 398545920. Its totient is φ = 34848000.

The previous prime is 145528319. The next prime is 145528379. The reversal of 145528350 is 53825541.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146355 + ... + 147345.

It is an arithmetic number, because the mean of its divisors is an integer number (4151520).

Almost surely, 2145528350 is an apocalyptic number.

145528350 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 145528350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272960).

145528350 is an abundant number, since it is smaller than the sum of its proper divisors (253017570).

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

145528350 is a wasteful number, since it uses less digits than its factorization.

145528350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 145528350 is about 12063.5131698855. The cubic root of 145528350 is about 525.9961133554.

The spelling of 145528350 in words is "one hundred forty-five million, five hundred twenty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 89 110 150 165 178 267 275 330 445 534 550 825 890 979 991 1335 1650 1958 1982 2225 2670 2937 2973 4450 4895 4955 5874 5946 6675 9790 9910 10901 13350 14685 14865 21802 24475 24775 29370 29730 32703 48950 49550 54505 65406 73425 74325 88199 109010 146850 148650 163515 176398 264597 272525 327030 440995 529194 545050 817575 881990 970189 1322985 1635150 1940378 2204975 2645970 2910567 4409950 4850945 5821134 6614925 9701890 13229850 14552835 24254725 29105670 48509450 72764175 145528350