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145542024 = 233231197331
BaseRepresentation
bin10001010110011…
…00101110001000
3101010212022010100
420223030232020
5244224321044
622235245400
73415041525
oct1053145610
9333768110
10145542024
1175177971
12408a9860
13241caa54
141548814c
15cb9d869
hex8accb88

145542024 has 96 divisors (see below), whose sum is σ = 410192640. Its totient is φ = 46569600.

The previous prime is 145542017. The next prime is 145542029. The reversal of 145542024 is 420245541.

145542024 is a `hidden beast` number, since 1 + 455 + 4 + 202 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (145542029) 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, 439539 + ... + 439869.

It is an arithmetic number, because the mean of its divisors is an integer number (4272840).

Almost surely, 2145542024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145542024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205096320).

145542024 is an abundant number, since it is smaller than the sum of its proper divisors (264650616).

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

145542024 is a wasteful number, since it uses less digits than its factorization.

145542024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 145542024 is about 12064.0799068972. The cubic root of 145542024 is about 526.0125872260.

Adding to 145542024 its reverse (420245541), we get a palindrome (565787565).

The spelling of 145542024 in words is "one hundred forty-five million, five hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 197 248 279 331 372 394 558 591 662 744 788 993 1116 1182 1324 1576 1773 1986 2232 2364 2648 2979 3546 3972 4728 5958 6107 7092 7944 10261 11916 12214 14184 18321 20522 23832 24428 30783 36642 41044 48856 54963 61566 65207 73284 82088 92349 109926 123132 130414 146568 184698 195621 219852 246264 260828 369396 391242 439704 521656 586863 738792 782484 1173726 1564968 2021417 2347452 4042834 4694904 6064251 8085668 12128502 16171336 18192753 24257004 36385506 48514008 72771012 145542024