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402871392 = 253271137491
BaseRepresentation
bin11000000000110…
…101010001100000
31001002001222122200
4120000311101200
51311113341032
6103550533200
712661231110
oct3000652140
91032058580
10402871392
11197457270
12b2b07200
1365608551
143b711040
152557e47c
hex18035460

402871392 has 288 divisors, whose sum is σ = 1469954304. Its totient is φ = 101606400.

The previous prime is 402871387. The next prime is 402871397. The reversal of 402871392 is 293178204.

It is an interprime number because it is at equal distance from previous prime (402871387) and next prime (402871397).

It is a tau number, because it is divible by the number of its divisors (288).

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 (402871397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820267 + ... + 820757.

It is an arithmetic number, because the mean of its divisors is an integer number (5104008).

Almost surely, 2402871392 is an apocalyptic number.

402871392 is a gapful number since it is divisible by the number (42) 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 402871392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734977152).

402871392 is an abundant number, since it is smaller than the sum of its proper divisors (1067082912).

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

402871392 is a wasteful number, since it uses less digits than its factorization.

402871392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 402871392 is about 20071.6564338871. The cubic root of 402871392 is about 738.5651475619.

The spelling of 402871392 in words is "four hundred two million, eight hundred seventy-one thousand, three hundred ninety-two".