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1442205672 = 23379760657
BaseRepresentation
bin101010111110110…
…0100111111101000
310201111202122020220
41111331210333220
510423201040142
6355035250040
750511355155
oct12575447750
93644678226
101442205672
116800a6516
12342ba9920
1319ca3824b
14d977b22c
15869302ec
hex55f64fe8

1442205672 has 32 divisors (see below), whose sum is σ = 3651158400. Its totient is φ = 474649344.

The previous prime is 1442205671. The next prime is 1442205673. The reversal of 1442205672 is 2765022441.

It is an interprime number because it is at equal distance from previous prime (1442205671) and next prime (1442205673).

It is not an unprimeable number, because it can be changed into a prime (1442205671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378433 + ... + 382224.

It is an arithmetic number, because the mean of its divisors is an integer number (114098700).

Almost surely, 21442205672 is an apocalyptic number.

1442205672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1442205672 is an abundant number, since it is smaller than the sum of its proper divisors (2208952728).

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

1442205672 is a wasteful number, since it uses less digits than its factorization.

1442205672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760745 (or 760741 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 1442205672 is about 37976.3830821209. The cubic root of 1442205672 is about 1129.8195007596.

The spelling of 1442205672 in words is "one billion, four hundred forty-two million, two hundred five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 760657 1521314 2281971 3042628 4563942 6085256 9127884 18255768 60091903 120183806 180275709 240367612 360551418 480735224 721102836 1442205672