Search a number
-
+
401999136 = 253721117457
BaseRepresentation
bin10111111101100…
…000010100100000
31001000102200010220
4113331200110200
51310402433021
6103520123040
712650636100
oct2775402440
91030380126
10401999136
11196a109a0
12b2766480
1365391516
143b565200
152545acc6
hex17f60520

401999136 has 288 divisors, whose sum is σ = 1421001792. Its totient is φ = 98058240.

The previous prime is 401999111. The next prime is 401999149. The reversal of 401999136 is 631999104.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879420 + ... + 879876.

It is an arithmetic number, because the mean of its divisors is an integer number (4934034).

Almost surely, 2401999136 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 401999136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710500896).

401999136 is an abundant number, since it is smaller than the sum of its proper divisors (1019002656).

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

401999136 is a wasteful number, since it uses less digits than its factorization.

401999136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 401999136 is about 20049.9161095502. The cubic root of 401999136 is about 738.0317404699.

The spelling of 401999136 in words is "four hundred one million, nine hundred ninety-nine thousand, one hundred thirty-six".