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8948742 = 2311413307
BaseRepresentation
bin100010001000…
…110000000110
3121211122100220
4202020300012
54242324432
6515445210
7136030425
oct42106006
917748326
108948742
115062360
122bb6806
131b1421a
14128d2bc
15bbb72c
hex888c06

8948742 has 32 divisors (see below), whose sum is σ = 20006784. Its totient is φ = 2644800.

The previous prime is 8948711. The next prime is 8948759. The reversal of 8948742 is 2478498.

It is a junction number, because it is equal to n+sod(n) for n = 8948694 and 8948703.

It is a congruent number.

It is an unprimeable number.

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, 1053 + ... + 4359.

It is an arithmetic number, because the mean of its divisors is an integer number (625212).

Almost surely, 28948742 is an apocalyptic number.

8948742 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8948742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10003392).

8948742 is an abundant number, since it is smaller than the sum of its proper divisors (11058042).

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

8948742 is a wasteful number, since it uses less digits than its factorization.

8948742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364.

The product of its digits is 129024, while the sum is 42.

The square root of 8948742 is about 2991.4448014296. Note that the first 3 decimals coincide. The cubic root of 8948742 is about 207.6127378851.

The spelling of 8948742 in words is "eight million, nine hundred forty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 3307 6614 9921 19842 36377 72754 109131 135587 218262 271174 406761 813522 1491457 2982914 4474371 8948742