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401661696 = 2832322739
BaseRepresentation
bin10111111100001…
…101111100000000
31000222210112021010
4113330031330000
51310311133241
6103505000520
712645032232
oct2774157400
91028715233
10401661696
11196800417
12b2623140
13652a3a57
143b4b8252
15253e0d16
hex17f0df00

401661696 has 72 divisors (see below), whose sum is σ = 1115533440. Its totient is φ = 128060416.

The previous prime is 401661679. The next prime is 401661763. The reversal of 401661696 is 696166104.

It is a super-2 number, since 2×4016616962 = 322664236067192832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6295 + ... + 29033.

It is an arithmetic number, because the mean of its divisors is an integer number (15493520).

Almost surely, 2401661696 is an apocalyptic number.

401661696 is a gapful number since it is divisible by the number (46) 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 401661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557766720).

401661696 is an abundant number, since it is smaller than the sum of its proper divisors (713871744).

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

401661696 is a wasteful number, since it uses less digits than its factorization.

401661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22781 (or 22767 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 401661696 is about 20041.4993451089. The cubic root of 401661696 is about 737.8251802040.

The spelling of 401661696 in words is "four hundred one million, six hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 8832 17664 22739 45478 68217 90956 136434 181912 272868 363824 522997 545736 727648 1045994 1091472 1455296 1568991 2091988 2182944 2910592 3137982 4183976 4365888 5821184 6275964 8367952 8731776 12551928 16735904 17463552 25103856 33471808 50207712 66943616 100415424 133887232 200830848 401661696