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4400404448 = 251123353653
BaseRepresentation
bin1000001100100100…
…01101011111100000
3102100200010201002112
410012102031133200
533003000420243
62004351534452
7214021551326
oct40622153740
912320121075
104400404448
111958a05aa0
12a2982a428
1355187511b
142da5c1d16
151ab4b8818
hex10648d7e0

4400404448 has 48 divisors (see below), whose sum is σ = 9491607216. Its totient is φ = 1991562240.

The previous prime is 4400404433. The next prime is 4400404451. The reversal of 4400404448 is 8444040044.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55190 + ... + 108842.

It is an arithmetic number, because the mean of its divisors is an integer number (197741817).

Almost surely, 24400404448 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 4400404448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745803608).

4400404448 is an abundant number, since it is smaller than the sum of its proper divisors (5091202768).

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

4400404448 is a wasteful number, since it uses less digits than its factorization.

4400404448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53907 (or 53899 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The square root of 4400404448 is about 66335.5443785607. The cubic root of 4400404448 is about 1638.6927476705.

The spelling of 4400404448 in words is "four billion, four hundred million, four hundred four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 233 352 466 932 1864 2563 3728 5126 7456 10252 20504 41008 53653 82016 107306 214612 429224 590183 858448 1180366 1716896 2360732 4721464 9442928 12501149 18885856 25002298 50004596 100009192 137512639 200018384 275025278 400036768 550050556 1100101112 2200202224 4400404448