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2052504 = 233229983
BaseRepresentation
bin111110101000110011000
310212021111200
413311012120
51011140004
6111554200
723305656
oct7650630
93767450
102052504
111182093
1282b960
1356b2cc
143b5dd6
152a8239
hex1f5198

2052504 has 48 divisors (see below), whose sum is σ = 5756400. Its totient is φ = 659904.

The previous prime is 2052503. The next prime is 2052511. The reversal of 2052504 is 4052502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052503) 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 11 ways as a sum of consecutive naturals, for example, 1597 + ... + 2579.

It is an arithmetic number, because the mean of its divisors is an integer number (119925).

22052504 is an apocalyptic number.

2052504 is a gapful number since it is divisible by the number (24) 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 2052504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878200).

2052504 is an abundant number, since it is smaller than the sum of its proper divisors (3703896).

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

2052504 is a wasteful number, since it uses less digits than its factorization.

2052504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2052504 is about 1432.6562741984. The cubic root of 2052504 is about 127.0851104532.

It can be divided in two parts, 2052 and 504, that added together give a triangular number (2556 = T71).

The spelling of 2052504 in words is "two million, fifty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 983 1044 1966 2088 2949 3932 5898 7864 8847 11796 17694 23592 28507 35388 57014 70776 85521 114028 171042 228056 256563 342084 513126 684168 1026252 2052504