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1442407932 = 223375335999
BaseRepresentation
bin101010111111001…
…0110010111111100
310201112010220201000
41111332112113330
510423224023212
6355043450300
750513156640
oct12576262774
93645126630
101442407932
11680224479
12343086990
1319caa9324
14d97d0c20
15869701dc
hex55f965fc

1442407932 has 96 divisors (see below), whose sum is σ = 4354560000. Its totient is φ = 404329536.

The previous prime is 1442407927. The next prime is 1442407937. The reversal of 1442407932 is 2397042441.

It is an interprime number because it is at equal distance from previous prime (1442407927) and next prime (1442407937).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442407937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22069 + ... + 58067.

It is an arithmetic number, because the mean of its divisors is an integer number (45360000).

Almost surely, 21442407932 is an apocalyptic number.

1442407932 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 1442407932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280000).

1442407932 is an abundant number, since it is smaller than the sum of its proper divisors (2912152068).

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

1442407932 is a wasteful number, since it uses less digits than its factorization.

1442407932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36072 (or 36064 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1442407932 is about 37979.0459595814. The cubic root of 1442407932 is about 1129.8723149120.

The spelling of 1442407932 in words is "one billion, four hundred forty-two million, four hundred seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2862 3339 4452 5724 6678 10017 13356 20034 35999 40068 71998 107997 143996 215994 251993 323991 431988 503986 647982 755979 971973 1007972 1295964 1511958 1907947 1943946 2267937 3023916 3815894 3887892 4535874 5723841 6803811 7631788 9071748 11447682 13355629 13607622 17171523 22895364 26711258 27215244 34343046 40066887 51514569 53422516 68686092 80133774 103029138 120200661 160267548 206058276 240401322 360601983 480802644 721203966 1442407932