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542464 = 2813163
BaseRepresentation
bin10000100011100000000
31000120010021
42010130000
5114324324
615343224
74416346
oct2043400
91016107
10542464
1134061a
12221b14
1315cbb0
14101996
15aaae4
hex84700

542464 has 36 divisors (see below), whose sum is σ = 1173256. Its totient is φ = 248832.

The previous prime is 542461. The next prime is 542467. The reversal of 542464 is 464245.

It is an interprime number because it is at equal distance from previous prime (542461) and next prime (542467).

Its product of digits (3840) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3247 + ... + 3409.

2542464 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 542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586628).

542464 is an abundant number, since it is smaller than the sum of its proper divisors (630792).

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

542464 is a wasteful number, since it uses less digits than its factorization.

542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 542464 is about 736.5215543350. The cubic root of 542464 is about 81.5561984582.

The spelling of 542464 in words is "five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 163 208 256 326 416 652 832 1304 1664 2119 2608 3328 4238 5216 8476 10432 16952 20864 33904 41728 67808 135616 271232 542464