Search a number
-
+
1542464 = 26711313
BaseRepresentation
bin101111000100101000000
32220100212022
411320211000
5343324324
653021012
716052660
oct5704500
92810768
101542464
11963970
12624768
13420101
142c21a0
1520705e
hex178940

1542464 has 56 divisors (see below), whose sum is σ = 3828288. Its totient is φ = 599040.

The previous prime is 1542451. The next prime is 1542473. The reversal of 1542464 is 4642451.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4772 + ... + 5084.

21542464 is an apocalyptic number.

1542464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914144).

1542464 is an abundant number, since it is smaller than the sum of its proper divisors (2285824).

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

1542464 is a wasteful number, since it uses less digits than its factorization.

1542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 1542464 is about 1241.9597416986. The cubic root of 1542464 is about 115.5415915627.

It can be divided in two parts, 154 and 2464, that multiplied together give a square (379456 = 6162).

The spelling of 1542464 in words is "one million, five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 313 352 448 616 626 704 1232 1252 2191 2464 2504 3443 4382 4928 5008 6886 8764 10016 13772 17528 20032 24101 27544 35056 48202 55088 70112 96404 110176 140224 192808 220352 385616 771232 1542464