Search a number
-
+
2929752 = 233275813
BaseRepresentation
bin1011001011010001011000
312111211212100
423023101120
51222223002
6142443400
733621360
oct13132130
95454770
102929752
111721191
12b93560
137b76a7
145639a0
153cd11c
hex2cb458

2929752 has 48 divisors (see below), whose sum is σ = 9069840. Its totient is φ = 836928.

The previous prime is 2929747. The next prime is 2929753. The reversal of 2929752 is 2579292.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 2 + 9 + 213 + 93 + 77 + 53 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2929753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2403 + ... + 3410.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

22929752 is an apocalyptic number.

It is an amenable number.

2929752 is an abundant number, since it is smaller than the sum of its proper divisors (6140088).

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

2929752 is a wasteful number, since it uses less digits than its factorization.

2929752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5825 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2929752 is about 1711.6518337559. The cubic root of 2929752 is about 143.0903303960.

The spelling of 2929752 in words is "two million, nine hundred twenty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 5813 11626 17439 23252 34878 40691 46504 52317 69756 81382 104634 122073 139512 162764 209268 244146 325528 366219 418536 488292 732438 976584 1464876 2929752