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400493148 = 223114636553
BaseRepresentation
bin10111110111110…
…000101001011100
31000220121011022120
4113313300221130
51310011240043
6103423542540
712632064336
oct2767605134
91026534276
10400493148
11196082480
12b215aa50
1364c84bc3
143b292456
152525e983
hex17df0a5c

400493148 has 48 divisors (see below), whose sum is σ = 1021794816. Its totient is φ = 121080960.

The previous prime is 400493117. The next prime is 400493167. The reversal of 400493148 is 841394004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 57840 + ... + 64392.

It is an arithmetic number, because the mean of its divisors is an integer number (21287392).

Almost surely, 2400493148 is an apocalyptic number.

It is an amenable number.

400493148 is an abundant number, since it is smaller than the sum of its proper divisors (621301668).

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

400493148 is a wasteful number, since it uses less digits than its factorization.

400493148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 400493148 is about 20012.3249024195. The cubic root of 400493148 is about 737.1089708383.

The spelling of 400493148 in words is "four hundred million, four hundred ninety-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 463 926 1389 1852 2778 5093 5556 6553 10186 13106 15279 19659 20372 26212 30558 39318 61116 72083 78636 144166 216249 288332 432498 864996 3034039 6068078 9102117 12136156 18204234 33374429 36408468 66748858 100123287 133497716 200246574 400493148