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4092948 = 2232414759
BaseRepresentation
bin1111100111010000010100
321200221110200
433213100110
52021433243
6223420500
746534536
oct17472024
97627420
104092948
112346102
121454730
13b03c82
14787856
1555cad3
hex3e7414

4092948 has 72 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1280640.

The previous prime is 4092947. The next prime is 4092983. The reversal of 4092948 is 8492904.

It is a happy number.

4092948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4092941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69343 + ... + 69401.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 24092948 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 4092948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

4092948 is an abundant number, since it is smaller than the sum of its proper divisors (6914412).

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

4092948 is a wasteful number, since it uses less digits than its factorization.

4092948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 152 counting only the distinct ones).

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

The square root of 4092948 is about 2023.1035564202. The cubic root of 4092948 is about 159.9602505424.

The spelling of 4092948 in words is "four million, ninety-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 59 82 94 118 123 141 164 177 188 236 246 282 354 369 423 492 531 564 708 738 846 1062 1476 1692 1927 2124 2419 2773 3854 4838 5546 5781 7257 7708 8319 9676 11092 11562 14514 16638 17343 21771 23124 24957 29028 33276 34686 43542 49914 69372 87084 99828 113693 227386 341079 454772 682158 1023237 1364316 2046474 4092948