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401673216 = 2103718679
BaseRepresentation
bin10111111100010…
…000110000000000
31000222211010001210
4113330100300000
51310312020331
6103505130120
712645110640
oct2774206000
91028733053
10401673216
1119680903a
12b2629940
13652a9079
143b4bc520
15253e4446
hex17f10c00

401673216 has 88 divisors (see below), whose sum is σ = 1223614720. Its totient is φ = 114757632.

The previous prime is 401673197. The next prime is 401673247. The reversal of 401673216 is 612376104.

It is a super-2 number, since 2×4016732162 = 322682744903565312, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12165 + ... + 30843.

Almost surely, 2401673216 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 401673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611807360).

401673216 is an abundant number, since it is smaller than the sum of its proper divisors (821941504).

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

401673216 is a wasteful number, since it uses less digits than its factorization.

401673216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18709 (or 18691 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 401673216 is about 20041.7867466950. The cubic root of 401673216 is about 737.8322339551.

The spelling of 401673216 in words is "four hundred one million, six hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 18679 21504 37358 56037 74716 112074 130753 149432 224148 261506 298864 392259 448296 523012 597728 784518 896592 1046024 1195456 1569036 1793184 2092048 2390912 3138072 3586368 4184096 4781824 6276144 7172736 8368192 9563648 12552288 14345472 16736384 19127296 25104576 28690944 33472768 50209152 57381888 66945536 100418304 133891072 200836608 401673216