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401599296 = 2635721731
BaseRepresentation
bin10111111011111…
…110101101000000
31000222200100200000
4113323332231000
51310302134141
6103503400000
712644352300
oct2773765500
91028610600
10401599296
1119676854a
12b25b3000
1365281527
143b49d600
15253cc5b6
hex17efeb40

401599296 has 504 divisors, whose sum is σ = 1517757696. Its totient is φ = 104509440.

The previous prime is 401599291. The next prime is 401599339. The reversal of 401599296 is 692995104.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×4015992962 = 322563989095391232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401599291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12954801 + ... + 12954831.

It is an arithmetic number, because the mean of its divisors is an integer number (3011424).

Almost surely, 2401599296 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 401599296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758878848).

401599296 is an abundant number, since it is smaller than the sum of its proper divisors (1116158400).

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

401599296 is a wasteful number, since it uses less digits than its factorization.

401599296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 401599296 is about 20039.9425148876. The cubic root of 401599296 is about 737.7869700419.

It can be divided in two parts, 40159 and 9296, that added together give a triangular number (49455 = T314).

The spelling of 401599296 in words is "four hundred one million, five hundred ninety-nine thousand, two hundred ninety-six".