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5088000 = 2835353
BaseRepresentation
bin10011011010001100000000
3100120111102110
4103122030000
52300304000
6301015320
761150551
oct23321400
910514373
105088000
112965765
121854540
131091b68
14966328
156a7850
hex4da300

5088000 has 144 divisors (see below), whose sum is σ = 17218656. Its totient is φ = 1331200.

The previous prime is 5087969. The next prime is 5088007. The reversal of 5088000 is 8805.

It is not an unprimeable number, because it can be changed into a prime (5088007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95974 + ... + 96026.

It is an arithmetic number, because the mean of its divisors is an integer number (119574).

Almost surely, 25088000 is an apocalyptic number.

5088000 is a gapful number since it is divisible by the number (50) 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 5088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609328).

5088000 is an abundant number, since it is smaller than the sum of its proper divisors (12130656).

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

5088000 is an equidigital number, since it uses as much as digits as its factorization.

5088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 5088000 is about 2255.6595487795. The cubic root of 5088000 is about 171.9949520783.

The spelling of 5088000 in words is "five million, eighty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 64 75 80 96 100 106 120 125 128 150 159 160 192 200 212 240 250 256 265 300 318 320 375 384 400 424 480 500 530 600 636 640 750 768 795 800 848 960 1000 1060 1200 1272 1280 1325 1500 1590 1600 1696 1920 2000 2120 2400 2544 2650 3000 3180 3200 3392 3840 3975 4000 4240 4800 5088 5300 6000 6360 6400 6625 6784 7950 8000 8480 9600 10176 10600 12000 12720 13250 13568 15900 16000 16960 19200 19875 20352 21200 24000 25440 26500 31800 32000 33920 39750 40704 42400 48000 50880 53000 63600 67840 79500 84800 96000 101760 106000 127200 159000 169600 203520 212000 254400 318000 339200 424000 508800 636000 848000 1017600 1272000 1696000 2544000 5088000