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400166988 = 223132375333
BaseRepresentation
bin10111110110100…
…001000001001100
31000212222120220120
4113312201001030
51304420320423
6103412544540
712626235414
oct2766410114
91025876816
10400166988
1119597a421
12b2022150
1364b9c600
143b209644
15251e7ee3
hex17da104c

400166988 has 72 divisors (see below), whose sum is σ = 1038593808. Its totient is φ = 119778048.

The previous prime is 400166983. The next prime is 400166989. The reversal of 400166988 is 889661004.

It is not an unprimeable number, because it can be changed into a prime (400166981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72370 + ... + 77702.

It is an arithmetic number, because the mean of its divisors is an integer number (14424914).

Almost surely, 2400166988 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 400166988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519296904).

400166988 is an abundant number, since it is smaller than the sum of its proper divisors (638426820).

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

400166988 is a wasteful number, since it uses less digits than its factorization.

400166988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5403 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 400166988 is about 20004.1742643879. The cubic root of 400166988 is about 736.9088169721.

The spelling of 400166988 in words is "four hundred million, one hundred sixty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 169 222 338 444 481 507 676 962 1014 1443 1924 2028 2886 5333 5772 6253 10666 12506 15999 18759 21332 25012 31998 37518 63996 69329 75036 138658 197321 207987 277316 394642 415974 591963 789284 831948 901277 1183926 1802554 2367852 2565173 2703831 3605108 5130346 5407662 7695519 10260692 10815324 15391038 30782076 33347249 66694498 100041747 133388996 200083494 400166988