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1442642500 = 22541344389
BaseRepresentation
bin101010111111100…
…1111101001000100
310201112120211110201
41111333033221010
510423304030000
6355052500244
750515154545
oct12577175104
93645524421
101442642500
11680374732
1234317a684
1319cb5c020
14d98524cc
15869b996a
hex55fcfa44

1442642500 has 60 divisors (see below), whose sum is σ = 3397521820. Its totient is φ = 532656000.

The previous prime is 1442642477. The next prime is 1442642533. The reversal of 1442642500 is 52462441.

It can be written as a sum of positive squares in 10 ways, for example, as 958026304 + 484616196 = 30952^2 + 22014^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10306 + ... + 54694.

Almost surely, 21442642500 is an apocalyptic number.

1442642500 is a gapful number since it is divisible by the number (10) 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 1442642500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698760910).

1442642500 is an abundant number, since it is smaller than the sum of its proper divisors (1954879320).

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

1442642500 is a wasteful number, since it uses less digits than its factorization.

1442642500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44426 (or 44409 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1442642500 is about 37982.1339579545. The cubic root of 1442642500 is about 1129.9335591499.

The spelling of 1442642500 in words is "one billion, four hundred forty-two million, six hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 2500 3250 6500 8125 16250 32500 44389 88778 177556 221945 443890 577057 887780 1109725 1154114 2219450 2308228 2885285 4438900 5548625 5770570 11097250 11541140 14426425 22194500 27743125 28852850 55486250 57705700 72132125 110972500 144264250 288528500 360660625 721321250 1442642500