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1442952 = 233272409
BaseRepresentation
bin101100000010010001000
32201022100200
411200102020
5332133302
650532200
715156600
oct5402210
92638320
101442952
118a6125
12597060
133b6a24
14297c00
151d781c
hex160488

1442952 has 72 divisors (see below), whose sum is σ = 4557150. Its totient is φ = 411264.

The previous prime is 1442941. The next prime is 1442971. The reversal of 1442952 is 2592441.

It can be written as a sum of positive squares in only one way, i.e., 933156 + 509796 = 966^2 + 714^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×14429522 = 4164220948608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3324 + ... + 3732.

21442952 is an apocalyptic number.

1442952 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 1442952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278575).

1442952 is an abundant number, since it is smaller than the sum of its proper divisors (3114198).

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

1442952 is a wasteful number, since it uses less digits than its factorization.

1442952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1442952 is about 1201.2293702703. The cubic root of 1442952 is about 113.0014357507.

The spelling of 1442952 in words is "one million, four hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 409 441 504 588 818 882 1176 1227 1636 1764 2454 2863 3272 3528 3681 4908 5726 7362 8589 9816 11452 14724 17178 20041 22904 25767 29448 34356 40082 51534 60123 68712 80164 103068 120246 160328 180369 206136 240492 360738 480984 721476 1442952