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400217796 = 2232118211231
BaseRepresentation
bin10111110110101…
…101011011000100
31000220002011121100
4113312231123010
51304423432141
6103414020100
712626536506
oct2766553304
91026064540
10400217796
11195a04610
12b2047630
1364bb9784
143b21dd76
15252080b6
hex17dad6c4

400217796 has 72 divisors (see below), whose sum is σ = 1105872768. Its totient is φ = 121032000.

The previous prime is 400217773. The next prime is 400217801. The reversal of 400217796 is 697712004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 400217796.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324501 + ... + 325731.

It is an arithmetic number, because the mean of its divisors is an integer number (15359344).

Almost surely, 2400217796 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 400217796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552936384).

400217796 is an abundant number, since it is smaller than the sum of its proper divisors (705654972).

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

400217796 is a wasteful number, since it uses less digits than its factorization.

400217796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 400217796 is about 20005.4441590283. Note that the first 3 decimals coincide. The cubic root of 400217796 is about 736.9400033516.

The spelling of 400217796 in words is "four hundred million, two hundred seventeen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 821 1231 1642 2462 2463 3284 3693 4924 4926 7386 7389 9031 9852 11079 13541 14772 14778 18062 22158 27082 27093 29556 36124 40623 44316 54164 54186 81246 81279 108372 121869 162492 162558 243738 325116 487476 1010651 2021302 3031953 4042604 6063906 9095859 11117161 12127812 18191718 22234322 33351483 36383436 44468644 66702966 100054449 133405932 200108898 400217796