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401561808 = 243191273467
BaseRepresentation
bin10111111011110…
…101100011010000
31000222121110020120
4113323311203100
51310244434213
6103502510240
712644135064
oct2773654320
91028543216
10401561808
1119674236a
12b2595380
136526a44b
143b48daa4
15253c1423
hex17ef58d0

401561808 has 80 divisors (see below), whose sum is σ = 1100881920. Its totient is φ = 125774208.

The previous prime is 401561791. The next prime is 401561929. The reversal of 401561808 is 808165104.

It is a super-2 number, since 2×4015618082 = 322503771288457728, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 114091 + ... + 117557.

It is an arithmetic number, because the mean of its divisors is an integer number (13761024).

Almost surely, 2401561808 is an apocalyptic number.

401561808 is a gapful number since it is divisible by the number (48) 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 401561808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550440960).

401561808 is an abundant number, since it is smaller than the sum of its proper divisors (699320112).

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

401561808 is a wasteful number, since it uses less digits than its factorization.

401561808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 401561808 is about 20039.0071610347. The cubic root of 401561808 is about 737.7640126489.

The spelling of 401561808 in words is "four hundred one million, five hundred sixty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 127 152 228 254 304 381 456 508 762 912 1016 1524 2032 2413 3048 3467 4826 6096 6934 7239 9652 10401 13868 14478 19304 20802 27736 28956 38608 41604 55472 57912 65873 83208 115824 131746 166416 197619 263492 395238 440309 526984 790476 880618 1053968 1320927 1580952 1761236 2641854 3161904 3522472 5283708 7044944 8365871 10567416 16731742 21134832 25097613 33463484 50195226 66926968 100390452 133853936 200780904 401561808