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145024950 = 23527592341
BaseRepresentation
bin10001010010011…
…10011110110110
3101002220000211110
420221032132312
5244111244300
622220215450
73410456160
oct1051163666
9332800743
10145024950
1174954434
124069a586
13240795a5
1415391930
15caea550
hex8a4e7b6

145024950 has 96 divisors (see below), whose sum is σ = 418187520. Its totient is φ = 32572800.

The previous prime is 145024933. The next prime is 145024951. The reversal of 145024950 is 59420541.

It is a super-2 number, since 2×1450249502 = 42064472245005000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145024951) 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, 60780 + ... + 63120.

It is an arithmetic number, because the mean of its divisors is an integer number (4356120).

Almost surely, 2145024950 is an apocalyptic number.

145024950 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 145024950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209093760).

145024950 is an abundant number, since it is smaller than the sum of its proper divisors (273162570).

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

145024950 is a wasteful number, since it uses less digits than its factorization.

145024950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 145024950 is about 12042.6305265918. The cubic root of 145024950 is about 525.3889181688.

The spelling of 145024950 in words is "one hundred forty-five million, twenty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 59 70 75 105 118 150 175 177 210 295 350 354 413 525 590 826 885 1050 1239 1475 1770 2065 2341 2478 2950 4130 4425 4682 6195 7023 8850 10325 11705 12390 14046 16387 20650 23410 30975 32774 35115 49161 58525 61950 70230 81935 98322 117050 138119 163870 175575 245805 276238 351150 409675 414357 491610 690595 819350 828714 966833 1229025 1381190 1933666 2071785 2458050 2900499 3452975 4143570 4834165 5800998 6905950 9668330 10358925 14502495 20717850 24170825 29004990 48341650 72512475 145024950