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838142377 = 4159421823
BaseRepresentation
bin110001111101010…
…000100110101001
32011102010001012021
4301331100212221
53204031024002
6215100144441
726525043532
oct6175204651
92142101167
10838142377
113a0122856
121b4838121
13104849047
147d457689
154d8ad737
hex31f509a9

838142377 has 16 divisors (see below), whose sum is σ = 876274560. Its totient is φ = 800956800.

The previous prime is 838142351. The next prime is 838142407. The reversal of 838142377 is 773241838.

838142377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-838142377 is a prime.

It is a Duffinian number.

Its product of digits (225792) is a multiple of the sum of its prime divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (838142317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017988 + ... + 1018810.

It is an arithmetic number, because the mean of its divisors is an integer number (54767160).

Almost surely, 2838142377 is an apocalyptic number.

It is an amenable number.

838142377 is a deficient number, since it is larger than the sum of its proper divisors (38132183).

838142377 is a wasteful number, since it uses less digits than its factorization.

838142377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344.

The product of its digits is 225792, while the sum is 43.

The square root of 838142377 is about 28950.6887137422. The cubic root of 838142377 is about 942.8427512244.

The spelling of 838142377 in words is "eight hundred thirty-eight million, one hundred forty-two thousand, three hundred seventy-seven".

Divisors: 1 41 59 421 823 2419 17261 24839 33743 48557 346483 1018399 1990837 14205803 20442497 838142377