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401063936 = 214713269
BaseRepresentation
bin10111111001111…
…100000000000000
31000221200011021212
4113321330000000
51310133021221
6103444105252
712636662420
oct2771740000
91027604255
10401063936
111964322a9
12b2395228
1365124950
143b3a0480
1525323b5b
hex17e7c000

401063936 has 120 divisors (see below), whose sum is σ = 990874080. Its totient is φ = 158072832.

The previous prime is 401063917. The next prime is 401063941. The reversal of 401063936 is 639360104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1490810 + ... + 1491078.

It is an arithmetic number, because the mean of its divisors is an integer number (8257284).

Almost surely, 2401063936 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 401063936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495437040).

401063936 is an abundant number, since it is smaller than the sum of its proper divisors (589810144).

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

401063936 is an equidigital number, since it uses as much as digits as its factorization.

401063936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 401063936 is about 20026.5807366110. The cubic root of 401063936 is about 737.4589836808.

The spelling of 401063936 in words is "four hundred one million, sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 269 364 416 448 512 538 728 832 896 1024 1076 1456 1664 1792 1883 2048 2152 2912 3328 3497 3584 3766 4096 4304 5824 6656 6994 7168 7532 8192 8608 11648 13312 13988 14336 15064 16384 17216 23296 24479 26624 27976 28672 30128 34432 46592 48958 53248 55952 57344 60256 68864 93184 97916 106496 111904 114688 120512 137728 186368 195832 212992 223808 241024 275456 372736 391664 447616 482048 550912 745472 783328 895232 964096 1101824 1490944 1566656 1790464 1928192 2203648 3133312 3580928 3856384 4407296 6266624 7161856 7712768 12533248 14323712 15425536 25066496 28647424 30851072 50132992 57294848 100265984 200531968 401063936