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400997088 = 253317231187
BaseRepresentation
bin10111111001101…
…011101011100000
31000221112202121000
4113321223223200
51310123401323
6103442432000
712636263502
oct2771535340
91027482530
10400997088
11196397058
12b2362600
13651003ab
143b383d72
152530de43
hex17e6bae0

400997088 has 192 divisors, whose sum is σ = 1293304320. Its totient is φ = 120231936.

The previous prime is 400997081. The next prime is 400997101. The reversal of 400997088 is 880799004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400997081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 337231 + ... + 338417.

It is an arithmetic number, because the mean of its divisors is an integer number (6735960).

Almost surely, 2400997088 is an apocalyptic number.

400997088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400997088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646652160).

400997088 is an abundant number, since it is smaller than the sum of its proper divisors (892307232).

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

400997088 is a wasteful number, since it uses less digits than its factorization.

400997088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 400997088 is about 20024.9116851985. The cubic root of 400997088 is about 737.4180090025.

The spelling of 400997088 in words is "four hundred million, nine hundred ninety-seven thousand, eighty-eight".