Search a number
-
+
1442787840 = 29325134817
BaseRepresentation
bin101010111111111…
…0011001000000000
310201112212012211200
41111333303020000
510423323202330
6355055541200
750516331354
oct12577631000
93645765750
101442787840
1168046394a
1234322a800
1319cbb0220
14d988d464
15869e7a60
hex55ff3200

1442787840 has 240 divisors, whose sum is σ = 5382264888. Its totient is φ = 355074048.

The previous prime is 1442787839. The next prime is 1442787851. The reversal of 1442787840 is 487872441.

It can be written as a sum of positive squares in 4 ways, for example, as 559984896 + 882802944 = 23664^2 + 29712^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297112 + ... + 301928.

Almost surely, 21442787840 is an apocalyptic number.

1442787840 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 1442787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691132444).

1442787840 is an abundant number, since it is smaller than the sum of its proper divisors (3939477048).

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

1442787840 is a wasteful number, since it uses less digits than its factorization.

1442787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 1442787840 is about 37984.0471777298. The cubic root of 1442787840 is about 1129.9715031840.

The spelling of 1442787840 in words is "one billion, four hundred forty-two million, seven hundred eighty-seven thousand, eight hundred forty".