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401240028 = 22373711373
BaseRepresentation
bin10111111010100…
…110111111011100
31000222000002211210
4113322212333130
51310204140103
6103451544420
712641325000
oct2772467734
91028002753
10401240028
11196542632
12b245b110
1365186b47
143b408700
152535ae03
hex17ea6fdc

401240028 has 96 divisors (see below), whose sum is σ = 1107993600. Its totient is φ = 112943040.

The previous prime is 401239939. The next prime is 401240029. The reversal of 401240028 is 820042104.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 401239986 and 401240013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401240029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291550 + ... + 292922.

It is an arithmetic number, because the mean of its divisors is an integer number (11541600).

Almost surely, 2401240028 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 401240028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553996800).

401240028 is an abundant number, since it is smaller than the sum of its proper divisors (706753572).

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

401240028 is a wasteful number, since it uses less digits than its factorization.

401240028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 401240028 is about 20030.9767110843. The cubic root of 401240028 is about 737.5668980013.

The spelling of 401240028 in words is "four hundred one million, two hundred forty thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 343 426 497 588 686 852 994 1029 1372 1373 1491 1988 2058 2746 2982 3479 4116 4119 5492 5964 6958 8238 9611 10437 13916 16476 19222 20874 24353 28833 38444 41748 48706 57666 67277 73059 97412 97483 115332 134554 146118 194966 201831 269108 292236 292449 389932 403662 470939 584898 682381 807324 941878 1169796 1364762 1412817 1883756 2047143 2729524 2825634 4094286 4776667 5651268 8188572 9553334 14330001 19106668 28660002 33436669 57320004 66873338 100310007 133746676 200620014 401240028