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2985504 = 253137227
BaseRepresentation
bin1011011000111000100000
312121200100020
423120320200
51231014004
6143553440
734243044
oct13307040
95550306
102985504
11175a065
12bbb880
13806b92
1457a024
153de8d9
hex2d8e20

2985504 has 48 divisors (see below), whose sum is σ = 7928928. Its totient is φ = 983552.

The previous prime is 2985503. The next prime is 2985511. The reversal of 2985504 is 4055892.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13039 + ... + 13265.

It is an arithmetic number, because the mean of its divisors is an integer number (165186).

22985504 is an apocalyptic number.

2985504 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 2985504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964464).

2985504 is an abundant number, since it is smaller than the sum of its proper divisors (4943424).

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

2985504 is a wasteful number, since it uses less digits than its factorization.

2985504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2985504 is about 1727.8611055290. The cubic root of 2985504 is about 143.9922835371.

The spelling of 2985504 in words is "two million, nine hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 227 274 411 454 548 681 822 908 1096 1362 1644 1816 2192 2724 3288 3632 4384 5448 6576 7264 10896 13152 21792 31099 62198 93297 124396 186594 248792 373188 497584 746376 995168 1492752 2985504