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145322544 = 24331127769
BaseRepresentation
bin10001010100101…
…11001000110000
3101010110011001110
420222113020300
5244200310134
622230433320
73413135613
oct1052271060
9333404043
10145322544
1175037a84
1240802840
1324151b93
141542c17a
15cb587e9
hex8a97230

145322544 has 80 divisors (see below), whose sum is σ = 391086080. Its totient is φ = 46448640.

The previous prime is 145322539. The next prime is 145322561. The reversal of 145322544 is 445223541.

It is a super-2 number, since 2×1453225442 = 42237283589263872, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188592 + ... + 189360.

It is an arithmetic number, because the mean of its divisors is an integer number (4888576).

Almost surely, 2145322544 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 145322544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195543040).

145322544 is an abundant number, since it is smaller than the sum of its proper divisors (245763536).

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

145322544 is a wasteful number, since it uses less digits than its factorization.

145322544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 145322544 is about 12054.9800497554. The cubic root of 145322544 is about 525.7480420421.

The spelling of 145322544 in words is "one hundred forty-five million, three hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 127 186 248 254 372 381 496 508 744 762 769 1016 1488 1524 1538 2032 2307 3048 3076 3937 4614 6096 6152 7874 9228 11811 12304 15748 18456 23622 23839 31496 36912 47244 47678 62992 71517 94488 95356 97663 143034 188976 190712 195326 286068 292989 381424 390652 572136 585978 781304 1144272 1171956 1562608 2343912 3027553 4687824 6055106 9082659 12110212 18165318 24220424 36330636 48440848 72661272 145322544