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1402488192 = 27372193923
BaseRepresentation
bin101001110011000…
…0100010110000000
310121202000210010010
41103212010112000
510333014110232
6351100104520
746516644600
oct12346042600
93552023103
101402488192
1165a739156
12331835140
13194740191
14d439cc00
15831d70cc
hex53984580

1402488192 has 192 divisors, whose sum is σ = 4562827200. Its totient is φ = 379524096.

The previous prime is 1402488161. The next prime is 1402488221. The reversal of 1402488192 is 2918842041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1402488192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355543 + ... + 359465.

It is an arithmetic number, because the mean of its divisors is an integer number (23764725).

Almost surely, 21402488192 is an apocalyptic number.

1402488192 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 1402488192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281413600).

1402488192 is an abundant number, since it is smaller than the sum of its proper divisors (3160339008).

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

1402488192 is a wasteful number, since it uses less digits than its factorization.

1402488192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1402488192 is about 37449.8089714754. The cubic root of 1402488192 is about 1119.3512910041.

The spelling of 1402488192 in words is "one billion, four hundred two million, four hundred eighty-eight thousand, one hundred ninety-two".