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487925120 = 2753124593
BaseRepresentation
bin11101000101010…
…010010110000000
31021000010011102202
4131011102112000
51444402100440
6120225532332
715043203134
oct3505222600
91230104382
10487925120
1123046a401
121174a40a8
137a117cb7
1448b313c4
152cc80615
hex1d152580

487925120 has 64 divisors (see below), whose sum is σ = 1204122240. Its totient is φ = 188866560.

The previous prime is 487925083. The next prime is 487925129. The reversal of 487925120 is 21529784.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487925129) 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 7 ways as a sum of consecutive naturals, for example, 7544 + ... + 32136.

It is an arithmetic number, because the mean of its divisors is an integer number (18814410).

Almost surely, 2487925120 is an apocalyptic number.

487925120 is a gapful number since it is divisible by the number (40) 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 487925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602061120).

487925120 is an abundant number, since it is smaller than the sum of its proper divisors (716197120).

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

487925120 is a wasteful number, since it uses less digits than its factorization.

487925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24643 (or 24631 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 487925120 is about 22089.0271401889. The cubic root of 487925120 is about 787.2591661304.

The spelling of 487925120 in words is "four hundred eighty-seven million, nine hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 24593 49186 98372 122965 196744 245930 393488 491860 762383 786976 983720 1524766 1573952 1967440 3049532 3147904 3811915 3934880 6099064 7623830 7869760 12198128 15247660 15739520 24396256 30495320 48792512 60990640 97585024 121981280 243962560 487925120