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5023872 = 27327289
BaseRepresentation
bin10011001010100010000000
3100110020110100
4103022202000
52241230442
6255402400
760462600
oct23124200
910406410
105023872
112921567
121823400
13106b909
1494ac00
1569384c
hex4ca880

5023872 has 144 divisors (see below), whose sum is σ = 17005950. Its totient is φ = 1419264.

The previous prime is 5023871. The next prime is 5023901. The reversal of 5023872 is 2783205.

It can be written as a sum of positive squares in only one way, i.e., 4769856 + 254016 = 2184^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5023871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56404 + ... + 56492.

Almost surely, 25023872 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 5023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502975).

5023872 is an abundant number, since it is smaller than the sum of its proper divisors (11982078).

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

5023872 is a wasteful number, since it uses less digits than its factorization.

5023872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5023872 is about 2241.3995627732. The cubic root of 5023872 is about 171.2692996879.

The spelling of 5023872 in words is "five million, twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 89 96 98 112 126 128 144 147 168 178 192 196 224 252 267 288 294 336 356 384 392 441 448 504 534 576 588 623 672 712 784 801 882 896 1008 1068 1152 1176 1246 1344 1424 1568 1602 1764 1869 2016 2136 2352 2492 2688 2848 3136 3204 3528 3738 4032 4272 4361 4704 4984 5607 5696 6272 6408 7056 7476 8064 8544 8722 9408 9968 11214 11392 12816 13083 14112 14952 17088 17444 18816 19936 22428 25632 26166 28224 29904 34176 34888 39249 39872 44856 51264 52332 56448 59808 69776 78498 79744 89712 102528 104664 119616 139552 156996 179424 209328 239232 279104 313992 358848 418656 558208 627984 717696 837312 1255968 1674624 2511936 5023872