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5653872 = 243277179
BaseRepresentation
bin10101100100010101110000
3101122020122200
4111210111300
52421410442
6321103200
766025410
oct25442560
911566580
105653872
113211924
121a87b00
13122c5b3
14a72640
1576a34c
hex564570

5653872 has 120 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 1572480.

The previous prime is 5653871. The next prime is 5653909. The reversal of 5653872 is 2783565.

5653872 is a `hidden beast` number, since 56 + 538 + 72 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (5653871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71529 + ... + 71607.

It is an arithmetic number, because the mean of its divisors is an integer number (154752).

Almost surely, 25653872 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 5653872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

5653872 is an abundant number, since it is smaller than the sum of its proper divisors (12916368).

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

5653872 is a wasteful number, since it uses less digits than its factorization.

5653872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5653872 is about 2377.7872066272. The cubic root of 5653872 is about 178.1484264664.

The spelling of 5653872 in words is "five million, six hundred fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 79 84 112 126 142 144 158 168 213 237 252 284 316 336 426 474 497 504 553 568 632 639 711 852 948 994 1008 1106 1136 1264 1278 1422 1491 1659 1704 1896 1988 2212 2556 2844 2982 3318 3408 3792 3976 4424 4473 4977 5112 5609 5688 5964 6636 7952 8848 8946 9954 10224 11218 11376 11928 13272 16827 17892 19908 22436 23856 26544 33654 35784 39263 39816 44872 50481 67308 71568 78526 79632 89744 100962 117789 134616 157052 201924 235578 269232 314104 353367 403848 471156 628208 706734 807696 942312 1413468 1884624 2826936 5653872