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8913144 = 2332367241
BaseRepresentation
bin100010000000…
…000011111000
3121202211112110
4202000003320
54240210034
6515012320
7135521562
oct42000370
917684473
108913144
115038639
122b9a0a0
131b00c66
141280332
15bb0de9
hex8800f8

8913144 has 64 divisors (see below), whose sum is σ = 23696640. Its totient is φ = 2787840.

The previous prime is 8913143. The next prime is 8913161. The reversal of 8913144 is 4413198.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8913143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36864 + ... + 37104.

It is an arithmetic number, because the mean of its divisors is an integer number (370260).

Almost surely, 28913144 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 8913144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848320).

8913144 is an abundant number, since it is smaller than the sum of its proper divisors (14783496).

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

8913144 is a wasteful number, since it uses less digits than its factorization.

8913144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 8913144 is about 2985.4889046855. The cubic root of 8913144 is about 207.3370782872.

The spelling of 8913144 in words is "eight million, nine hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 67 69 92 134 138 184 201 241 268 276 402 482 536 552 723 804 964 1446 1541 1608 1928 2892 3082 4623 5543 5784 6164 9246 11086 12328 16147 16629 18492 22172 32294 33258 36984 44344 48441 64588 66516 96882 129176 133032 193764 371381 387528 742762 1114143 1485524 2228286 2971048 4456572 8913144