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401062816 = 257111391171
BaseRepresentation
bin10111111001111…
…011101110100000
31000221200002202101
4113321323232200
51310133002231
6103444100144
712636656230
oct2771735640
91027602671
10401062816
11196431480
12b2394654
136512429b
143b39dcc0
1525323661
hex17e7bba0

401062816 has 96 divisors (see below), whose sum is σ = 992355840. Its totient is φ = 155001600.

The previous prime is 401062813. The next prime is 401062829. The reversal of 401062816 is 618260104.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (401062813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341911 + ... + 343081.

It is an arithmetic number, because the mean of its divisors is an integer number (10337040).

Almost surely, 2401062816 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 401062816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496177920).

401062816 is an abundant number, since it is smaller than the sum of its proper divisors (591293024).

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

401062816 is a wasteful number, since it uses less digits than its factorization.

401062816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 401062816 is about 20026.5527737551. The cubic root of 401062816 is about 737.4582972110.

The spelling of 401062816 in words is "four hundred one million, sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 139 154 176 224 278 308 352 556 616 973 1112 1171 1232 1529 1946 2224 2342 2464 3058 3892 4448 4684 6116 7784 8197 9368 10703 12232 12881 15568 16394 18736 21406 24464 25762 31136 32788 37472 42812 48928 51524 65576 85624 90167 103048 131152 162769 171248 180334 206096 262304 325538 342496 360668 412192 651076 721336 1139383 1302152 1442672 1790459 2278766 2604304 2885344 3580918 4557532 5208608 7161836 9115064 12533213 14323672 18230128 25066426 28647344 36460256 50132852 57294688 100265704 200531408 401062816