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401386392 = 2332114147263
BaseRepresentation
bin10111111011001…
…010101110011000
31000222021112121200
4113323022232120
51310223331032
6103455034200
712642504501
oct2773125630
91028245550
10401386392
111966325a0
12b250b960
1365208654
143b445ba8
152538947c
hex17ecab98

401386392 has 192 divisors, whose sum is σ = 1245404160. Its totient is φ = 115699200.

The previous prime is 401386387. The next prime is 401386411. The reversal of 401386392 is 293683104.

401386392 is a `hidden beast` number, since 4 + 0 + 13 + 8 + 639 + 2 = 666.

It is a super-3 number, since 3×4013863923 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1526053 + ... + 1526315.

It is an arithmetic number, because the mean of its divisors is an integer number (6486480).

Almost surely, 2401386392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401386392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

401386392 is an abundant number, since it is smaller than the sum of its proper divisors (844017768).

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

401386392 is a wasteful number, since it uses less digits than its factorization.

401386392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 401386392 is about 20034.6298193902. The cubic root of 401386392 is about 737.6565701096.

The spelling of 401386392 in words is "four hundred one million, three hundred eighty-six thousand, three hundred ninety-two".