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145237884 = 223117115497
BaseRepresentation
bin10001010100000…
…10011101111100
3101010021211220220
420222002131330
5244140103014
622224541340
73412334031
oct1052023574
9333254826
10145237884
1174a8a410
1240781850
132412249c
1415409388
15cb3d6a9
hex8a8277c

145237884 has 48 divisors (see below), whose sum is σ = 374927616. Its totient is φ = 43388800.

The previous prime is 145237871. The next prime is 145237909. The reversal of 145237884 is 488732541.

145237884 = T329 + T330 + ... + T967.

145237884 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624 + ... + 17120.

It is an arithmetic number, because the mean of its divisors is an integer number (7810992).

Almost surely, 2145237884 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 145237884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187463808).

145237884 is an abundant number, since it is smaller than the sum of its proper divisors (229689732).

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

145237884 is a wasteful number, since it uses less digits than its factorization.

145237884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15586 (or 15584 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 145237884 is about 12051.4681263322. The cubic root of 145237884 is about 525.6459278665.

The spelling of 145237884 in words is "one hundred forty-five million, two hundred thirty-seven thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372 15497 30994 46491 61988 92982 170467 185964 340934 511401 681868 1022802 1100287 2045604 2200574 3300861 4401148 6601722 12103157 13203444 24206314 36309471 48412628 72618942 145237884