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401199552 = 263213131409
BaseRepresentation
bin10111111010011…
…101000111000000
31000221221001022200
4113322131013000
51310201341202
6103451033200
712641065665
oct2772350700
91027831280
10401199552
11196515186
12b243b800
13651715b0
143b3d7a6c
152534de1c
hex17e9d1c0

401199552 has 168 divisors, whose sum is σ = 1250929680. Its totient is φ = 122204160.

The previous prime is 401199529. The next prime is 401199553. The reversal of 401199552 is 255991104.

401199552 is a `hidden beast` number, since 4 + 0 + 11 + 99 + 552 = 666.

It is a super-2 number, since 2×4011995522 = 321922161050001408, which contains 22 as substring.

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 (401199553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 980724 + ... + 981132.

It is an arithmetic number, because the mean of its divisors is an integer number (7446010).

Almost surely, 2401199552 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 401199552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625464840).

401199552 is an abundant number, since it is smaller than the sum of its proper divisors (849730128).

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

401199552 is a wasteful number, since it uses less digits than its factorization.

401199552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 401199552 is about 20029.9663504460. The cubic root of 401199552 is about 737.5420959214.

The spelling of 401199552 in words is "four hundred one million, one hundred ninety-nine thousand, five hundred fifty-two".