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5464128 = 263149191
BaseRepresentation
bin10100110110000001000000
3101021121101010
4110312001000
52344323003
6313040520
764305255
oct24660100
911247333
105464128
1130a230a
1219b6140
131194117
14a2342c
1572e003
hex536040

5464128 has 56 divisors (see below), whose sum is σ = 14630400. Its totient is φ = 1799680.

The previous prime is 5464127. The next prime is 5464163. The reversal of 5464128 is 8214645.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5464095 and 5464104.

It is not an unprimeable number, because it can be changed into a prime (5464127) 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 7 ways as a sum of consecutive naturals, for example, 28513 + ... + 28703.

Almost surely, 25464128 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 5464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315200).

5464128 is an abundant number, since it is smaller than the sum of its proper divisors (9166272).

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

5464128 is a wasteful number, since it uses less digits than its factorization.

5464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 5464128 is about 2337.5474326738. The cubic root of 5464128 is about 176.1328198514.

The spelling of 5464128 in words is "five million, four hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 191 192 298 382 447 573 596 764 894 1146 1192 1528 1788 2292 2384 3056 3576 4584 4768 6112 7152 9168 9536 12224 14304 18336 28459 28608 36672 56918 85377 113836 170754 227672 341508 455344 683016 910688 1366032 1821376 2732064 5464128