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4290948 = 223367593
BaseRepresentation
bin10000010111100110000100
322002000002000
4100113212010
52044302243
6231545300
751321024
oct20274604
98060060
104290948
112470942
12152b230
13b7312c
147d9a84
1559b5d3
hex417984

4290948 has 48 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 1406592.

The previous prime is 4290947. The next prime is 4290961. The reversal of 4290948 is 8490924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 46 + 2 + 93 + 0 + 95 + 411 + 85 .

It is not an unprimeable number, because it can be changed into a prime (4290943) 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, 6940 + ... + 7532.

It is an arithmetic number, because the mean of its divisors is an integer number (235620).

Almost surely, 24290948 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 4290948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654880).

4290948 is an abundant number, since it is smaller than the sum of its proper divisors (7018812).

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

4290948 is a wasteful number, since it uses less digits than its factorization.

4290948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4290948 is about 2071.4603544360. The cubic root of 4290948 is about 162.4991463466.

The spelling of 4290948 in words is "four million, two hundred ninety thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 593 603 804 1186 1206 1779 1809 2372 2412 3558 3618 5337 7116 7236 10674 16011 21348 32022 39731 64044 79462 119193 158924 238386 357579 476772 715158 1072737 1430316 2145474 4290948