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5626128 = 2431931199
BaseRepresentation
bin10101011101100100010000
3101120211121010
4111131210100
52420014003
6320330520
765551464
oct25354420
911524533
105626128
1131a2aa2
121a73a40
13121ca91
14a664a4
15762003
hex55d910

5626128 has 80 divisors (see below), whose sum is σ = 15872000. Its totient is φ = 1710720.

The previous prime is 5626079. The next prime is 5626129. The reversal of 5626128 is 8216265.

It is a junction number, because it is equal to n+sod(n) for n = 5626095 and 5626104.

It is not an unprimeable number, because it can be changed into a prime (5626129) 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, 28173 + ... + 28371.

It is an arithmetic number, because the mean of its divisors is an integer number (198400).

Almost surely, 25626128 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 5626128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936000).

5626128 is an abundant number, since it is smaller than the sum of its proper divisors (10245872).

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

5626128 is a wasteful number, since it uses less digits than its factorization.

5626128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 5626128 is about 2371.9460364857. The cubic root of 5626128 is about 177.8565523578.

The spelling of 5626128 in words is "five million, six hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 199 228 248 304 372 398 456 496 589 597 744 796 912 1178 1194 1488 1592 1767 2356 2388 3184 3534 3781 4712 4776 6169 7068 7562 9424 9552 11343 12338 14136 15124 18507 22686 24676 28272 30248 37014 45372 49352 60496 74028 90744 98704 117211 148056 181488 234422 296112 351633 468844 703266 937688 1406532 1875376 2813064 5626128