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401767968 = 2537597869
BaseRepresentation
bin10111111100100…
…111111000100000
31000222222221001010
4113330213320200
51310323033333
6103511140520
712645654120
oct2774477040
91028887033
10401767968
11196873248
12b2674740
1365310234
143b504c80
1525412563
hex17f27e20

401767968 has 48 divisors (see below), whose sum is σ = 1205305920. Its totient is φ = 114790656.

The previous prime is 401767957. The next prime is 401767969. The reversal of 401767968 is 869767104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4017679682 = 322835000221698048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (401767969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298263 + ... + 299606.

It is an arithmetic number, because the mean of its divisors is an integer number (25110540).

Almost surely, 2401767968 is an apocalyptic number.

401767968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

401767968 is an abundant number, since it is smaller than the sum of its proper divisors (803537952).

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

401767968 is a wasteful number, since it uses less digits than its factorization.

401767968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597889 (or 597881 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 401767968 is about 20044.1504684035. The cubic root of 401767968 is about 737.8902459414.

The spelling of 401767968 in words is "four hundred one million, seven hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 597869 1195738 1793607 2391476 3587214 4185083 4782952 7174428 8370166 9565904 12555249 14348856 16740332 19131808 25110498 28697712 33480664 50220996 57395424 66961328 100441992 133922656 200883984 401767968