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5087952 = 243289397
BaseRepresentation
bin10011011010001011010000
3100120111100200
4103122023100
52300303302
6301015200
761150452
oct23321320
910514320
105087952
112965721
121854500
131091b2c
149662d2
156a781c
hex4da2d0

5087952 has 60 divisors (see below), whose sum is σ = 14435460. Its totient is φ = 1672704.

The previous prime is 5087939. The next prime is 5087959. The reversal of 5087952 is 2597805.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 2944656 = 1464^2 + 1716^2 .

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 (5087959) 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, 12618 + ... + 13014.

It is an arithmetic number, because the mean of its divisors is an integer number (240591).

Almost surely, 25087952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5087952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217730).

5087952 is an abundant number, since it is smaller than the sum of its proper divisors (9347508).

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

5087952 is a wasteful number, since it uses less digits than its factorization.

5087952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5087952 is about 2255.6489088508. The cubic root of 5087952 is about 171.9944112120.

The spelling of 5087952 in words is "five million, eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 397 534 712 794 801 1068 1191 1424 1588 1602 2136 2382 3176 3204 3573 4272 4764 6352 6408 7146 9528 12816 14292 19056 28584 35333 57168 70666 105999 141332 211998 282664 317997 423996 565328 635994 847992 1271988 1695984 2543976 5087952