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5614272 = 2635192
BaseRepresentation
bin10101011010101011000000
3101120020100000
4111122223000
52414124042
6320200000
765502066
oct25325300
911506300
105614272
1131950a4
121a69000
131217571
14a62036
1575d74c
hex55aac0

5614272 has 126 divisors (see below), whose sum is σ = 17612868. Its totient is φ = 1772928.

The previous prime is 5614247. The next prime is 5614283. The reversal of 5614272 is 2724165.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3360) is a multiple of the sum of its prime divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 295479 + ... + 295497.

Almost surely, 25614272 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 5614272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806434).

5614272 is an abundant number, since it is smaller than the sum of its proper divisors (11998596).

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

5614272 is an equidigital number, since it uses as much as digits as its factorization.

5614272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 24 counting only the distinct ones).

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

The square root of 5614272 is about 2369.4455047542. The cubic root of 5614272 is about 177.7315314893.

Multiplying 5614272 by its sum of digits (27), we get a square (151585344 = 123122).

5614272 divided by its sum of digits (27) gives a square (207936 = 4562).

It can be divided in two parts, 5614 and 272, that added together give a triangular number (5886 = T108).

The spelling of 5614272 in words is "five million, six hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 243 288 304 324 342 361 432 456 486 513 576 608 648 684 722 864 912 972 1026 1083 1216 1296 1368 1444 1539 1728 1824 1944 2052 2166 2592 2736 2888 3078 3249 3648 3888 4104 4332 4617 5184 5472 5776 6156 6498 7776 8208 8664 9234 9747 10944 11552 12312 12996 15552 16416 17328 18468 19494 23104 24624 25992 29241 32832 34656 36936 38988 49248 51984 58482 69312 73872 77976 87723 98496 103968 116964 147744 155952 175446 207936 233928 295488 311904 350892 467856 623808 701784 935712 1403568 1871424 2807136 5614272