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54952092 = 223213176907
BaseRepresentation
bin1101000110100…
…0000010011100
310211101212002200
43101220002130
5103031431332
65241451500
71235041116
oct321500234
9124355080
1054952092
1129023358
12164a0b90
13b500440
1474263b6
154c5717c
hex346809c

54952092 has 72 divisors (see below), whose sum is σ = 158414256. Its totient is φ = 15911424.

The previous prime is 54952087. The next prime is 54952099. The reversal of 54952092 is 29025945.

It is a happy number.

54952092 is a `hidden beast` number, since 5 + 49 + 520 + 92 = 666.

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 (54952099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4503 + ... + 11409.

It is an arithmetic number, because the mean of its divisors is an integer number (2200198).

Almost surely, 254952092 is an apocalyptic number.

54952092 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54952092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79207128).

54952092 is an abundant number, since it is smaller than the sum of its proper divisors (103462164).

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

54952092 is a wasteful number, since it uses less digits than its factorization.

54952092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6947 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 54952092 is about 7412.9678267210. The cubic root of 54952092 is about 380.1847946993.

The spelling of 54952092 in words is "fifty-four million, nine hundred fifty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 6907 7956 13814 20721 27628 41442 62163 82884 89791 117419 124326 179582 234838 248652 269373 352257 359164 469676 538746 704514 808119 1056771 1077492 1409028 1526447 1616238 2113542 3052894 3232476 4227084 4579341 6105788 9158682 13738023 18317364 27476046 54952092