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5456192 = 26719641
BaseRepresentation
bin10100110100000101000000
3101021012111012
4110310011000
52344044232
6312540052
764243160
oct24640500
911235435
105456192
113097355
1219b1628
131190621
14a205a0
1572b9b2
hex534140

5456192 has 56 divisors (see below), whose sum is σ = 13045440. Its totient is φ = 2211840.

The previous prime is 5456179. The next prime is 5456197. The reversal of 5456192 is 2916545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×54561922 = 59540062281728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456197) 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, 8192 + ... + 8832.

Almost surely, 25456192 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 5456192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522720).

5456192 is an abundant number, since it is smaller than the sum of its proper divisors (7589248).

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

5456192 is a wasteful number, since it uses less digits than its factorization.

5456192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The square root of 5456192 is about 2335.8493102082. The cubic root of 5456192 is about 176.0475078362.

The spelling of 5456192 in words is "five million, four hundred fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 641 1064 1216 1282 2128 2564 4256 4487 5128 8512 8974 10256 12179 17948 20512 24358 35896 41024 48716 71792 85253 97432 143584 170506 194864 287168 341012 389728 682024 779456 1364048 2728096 5456192