Search a number
-
+
145253538 = 232311631597
BaseRepresentation
bin10001010100001…
…10010010100010
3101010022122101200
420222012102202
5244141103123
622225142030
73412430463
oct1052062242
9333278350
10145253538
1174aa0151
124078a916
1324129651
1415410d6a
15cb43143
hex8a864a2

145253538 has 48 divisors (see below), whose sum is σ = 327065856. Its totient is φ = 46539360.

The previous prime is 145253531. The next prime is 145253551. The reversal of 145253538 is 835352541.

It is not an unprimeable number, because it can be changed into a prime (145253531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90156 + ... + 91752.

It is an arithmetic number, because the mean of its divisors is an integer number (6813872).

Almost surely, 2145253538 is an apocalyptic number.

145253538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145253538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163532928).

145253538 is an abundant number, since it is smaller than the sum of its proper divisors (181812318).

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

145253538 is a wasteful number, since it uses less digits than its factorization.

145253538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1796 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 145253538 is about 12052.1175732732. The cubic root of 145253538 is about 525.6648122088.

The spelling of 145253538 in words is "one hundred forty-five million, two hundred fifty-three thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 163 186 279 326 489 558 978 1467 1597 2934 3194 4791 5053 9582 10106 14373 15159 28746 30318 45477 49507 90954 99014 148521 260311 297042 445563 520622 780933 891126 1561866 2342799 4685598 8069641 16139282 24208923 48417846 72626769 145253538