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440027136 = 2113223873
BaseRepresentation
bin11010001110100…
…100100000000000
31010122222200202100
4122032210200000
51400121332021
6111355150400
713622111643
oct3216444000
91118880670
10440027136
1120642499a
12103445400
13702175b3
1442623a5a
152896d626
hex1a3a4800

440027136 has 72 divisors (see below), whose sum is σ = 1270932390. Its totient is φ = 146669568.

The previous prime is 440027101. The next prime is 440027143. The reversal of 440027136 is 631720044.

It can be written as a sum of positive squares in only one way, i.e., 426009600 + 14017536 = 20640^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6496 + ... + 30368.

Almost surely, 2440027136 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 440027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635466195).

440027136 is an abundant number, since it is smaller than the sum of its proper divisors (830905254).

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

440027136 is a wasteful number, since it uses less digits than its factorization.

440027136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23901 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 440027136 is about 20976.8237824510. The cubic root of 440027136 is about 760.6061277275.

The spelling of 440027136 in words is "four hundred forty million, twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 23873 47746 71619 95492 143238 190984 214857 286476 381968 429714 572952 763936 859428 1145904 1527872 1718856 2291808 3055744 3437712 4583616 6111488 6875424 9167232 12222976 13750848 18334464 24445952 27501696 36668928 48891904 55003392 73337856 110006784 146675712 220013568 440027136