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5465844 = 22321961131
BaseRepresentation
bin10100110110011011110100
3101021200201200
4110312123310
52344401334
6313052500
764313256
oct24663364
911250650
105465844
1130a362a
1219b7130
131194b37
14a23cd6
1572e799
hex5366f4

5465844 has 72 divisors (see below), whose sum is σ = 14894880. Its totient is φ = 1684800.

The previous prime is 5465821. The next prime is 5465849. The reversal of 5465844 is 4485645.

5465844 = T749 + T750 + ... + T767.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5465799 and 5465808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5465849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41659 + ... + 41789.

Almost surely, 25465844 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 5465844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7447440).

5465844 is an abundant number, since it is smaller than the sum of its proper divisors (9429036).

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

5465844 is a wasteful number, since it uses less digits than its factorization.

5465844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 216 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 5465844 is about 2337.9144552357. The cubic root of 5465844 is about 176.1512559913.

The spelling of 5465844 in words is "five million, four hundred sixty-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 131 171 183 228 244 262 342 366 393 524 549 684 732 786 1098 1159 1179 1572 2196 2318 2358 2489 3477 4636 4716 4978 6954 7467 7991 9956 10431 13908 14934 15982 20862 22401 23973 29868 31964 41724 44802 47946 71919 89604 95892 143838 151829 287676 303658 455487 607316 910974 1366461 1821948 2732922 5465844