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400400216 = 23293155673
BaseRepresentation
bin10111110111011…
…001111101011000
31000220102102211122
4113313121331120
51310000301331
6103421544412
712631226366
oct2767317530
91026372748
10400400216
11196019677
12b2115108
1364c51808
143b26a636
152524217b
hex17dd9f58

400400216 has 32 divisors (see below), whose sum is σ = 801705600. Its totient is φ = 187057920.

The previous prime is 400400131. The next prime is 400400237. The reversal of 400400216 is 612004004.

It is a junction number, because it is equal to n+sod(n) for n = 400400194 and 400400203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20645 + ... + 35028.

It is an arithmetic number, because the mean of its divisors is an integer number (25053300).

Almost surely, 2400400216 is an apocalyptic number.

It is an amenable number.

400400216 is an abundant number, since it is smaller than the sum of its proper divisors (401305384).

400400216 is a wasteful number, since it uses less digits than its factorization.

400400216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55739 (or 55735 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 400400216 is about 20010.0028985505. The cubic root of 400400216 is about 737.0519525428.

The spelling of 400400216 in words is "four hundred million, four hundred thousand, two hundred sixteen".

Divisors: 1 2 4 8 29 31 58 62 116 124 232 248 899 1798 3596 7192 55673 111346 222692 445384 1614517 1725863 3229034 3451726 6458068 6903452 12916136 13806904 50050027 100100054 200200108 400400216