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145124850 = 235213193917
BaseRepresentation
bin10001010011001…
…10110111110010
3101010002002212110
420221212313302
5244122443400
622222310150
73411353343
oct1051466762
9333062773
10145124850
1174a124a2
1240728356
13240b2bc0
14153ba0ca
15cb19e50
hex8a66df2

145124850 has 96 divisors (see below), whose sum is σ = 408098880. Its totient is φ = 33834240.

The previous prime is 145124843. The next prime is 145124851. The reversal of 145124850 is 58421541.

It is a super-2 number, since 2×1451248502 = 42122444175045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (145124851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35092 + ... + 39008.

It is an arithmetic number, because the mean of its divisors is an integer number (4251030).

Almost surely, 2145124850 is an apocalyptic number.

145124850 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 145124850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204049440).

145124850 is an abundant number, since it is smaller than the sum of its proper divisors (262974030).

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

145124850 is a wasteful number, since it uses less digits than its factorization.

145124850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 145124850 is about 12046.7775774271. Note that the first 3 decimals coincide. The cubic root of 145124850 is about 525.5095280038.

The spelling of 145124850 in words is "one hundred forty-five million, one hundred twenty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 19 25 26 30 38 39 50 57 65 75 78 95 114 130 150 190 195 247 285 325 390 475 494 570 650 741 950 975 1235 1425 1482 1950 2470 2850 3705 3917 6175 7410 7834 11751 12350 18525 19585 23502 37050 39170 50921 58755 74423 97925 101842 117510 148846 152763 195850 223269 254605 293775 305526 372115 446538 509210 587550 744230 763815 967499 1116345 1273025 1527630 1860575 1934998 2232690 2546050 2902497 3721150 3819075 4837495 5581725 5804994 7638150 9674990 11163450 14512485 24187475 29024970 48374950 72562425 145124850