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8538992 = 2471129239
BaseRepresentation
bin100000100100…
…101101110000
3121001211021222
4200210231300
54141221432
6503004212
7132403010
oct40445560
917054258
108538992
114902520
122a39668
1319cc877
1411c3c40
15b3a112
hex824b70

8538992 has 80 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 3198720.

The previous prime is 8538991. The next prime is 8538997. The reversal of 8538992 is 2998358.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a d-powerful number, because it can be written as 85 + 57 + 38 + 85 + 92 + 92 + 223 .

Its product of digits (155520) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8538991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35609 + ... + 35847.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 28538992 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 8538992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

8538992 is an abundant number, since it is smaller than the sum of its proper divisors (12888208).

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

8538992 is a wasteful number, since it uses less digits than its factorization.

8538992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its digits is 155520, while the sum is 44.

The square root of 8538992 is about 2922.1553689015. The cubic root of 8538992 is about 204.3943416747.

The spelling of 8538992 in words is "eight million, five hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 239 308 319 406 464 478 616 638 812 956 1232 1276 1624 1673 1912 2233 2552 2629 3248 3346 3824 4466 5104 5258 6692 6931 8932 10516 13384 13862 17864 18403 21032 26768 27724 35728 36806 42064 48517 55448 73612 76241 97034 110896 147224 152482 194068 294448 304964 388136 533687 609928 776272 1067374 1219856 2134748 4269496 8538992