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1427952 = 24371419
BaseRepresentation
bin101011100100111110000
32200112210010
411130213300
5331143302
650334520
715065061
oct5344760
92615703
101427952
11895929
1258a440
133acc56
14292568
151d316c
hex15c9f0

1427952 has 40 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 468160.

The previous prime is 1427927. The next prime is 1427957. The reversal of 1427952 is 2597241.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3199 + ... + 3617.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

21427952 is an apocalyptic number.

1427952 is a gapful number since it is divisible by the number (12) 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 1427952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1427952 is an abundant number, since it is smaller than the sum of its proper divisors (2321808).

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

1427952 is a wasteful number, since it uses less digits than its factorization.

1427952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 1427952 is about 1194.9694556766. The cubic root of 1427952 is about 112.6085076550.

It can be divided in two parts, 14 and 27952, that added together give a triangular number (27966 = T236).

The spelling of 1427952 in words is "one million, four hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 419 426 568 838 852 1136 1257 1676 1704 2514 3352 3408 5028 6704 10056 20112 29749 59498 89247 118996 178494 237992 356988 475984 713976 1427952