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1940448 = 253172941
BaseRepresentation
bin111011001101111100000
310122120210110
413121233200
5444043243
6105331320
722331166
oct7315740
93576713
101940448
111105984
12796b40
1352c2c3
14387236
15284e33
hex1d9be0

1940448 has 96 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 573440.

The previous prime is 1940447. The next prime is 1940453. The reversal of 1940448 is 8440491.

It is a Cunningham number, because it is equal to 13932-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47308 + ... + 47348.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

21940448 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 1940448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

1940448 is an abundant number, since it is smaller than the sum of its proper divisors (3774912).

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

1940448 is a wasteful number, since it uses less digits than its factorization.

1940448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1940448 is about 1392.9996410624. Note that the first 3 decimals coincide. The cubic root of 1940448 is about 124.7289701004.

The spelling of 1940448 in words is "one million, nine hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 41 48 51 58 68 82 87 96 102 116 123 136 164 174 204 232 246 272 328 348 408 464 492 493 544 656 696 697 816 928 984 986 1189 1312 1392 1394 1479 1632 1968 1972 2091 2378 2784 2788 2958 3567 3936 3944 4182 4756 5576 5916 7134 7888 8364 9512 11152 11832 14268 15776 16728 19024 20213 22304 23664 28536 33456 38048 40426 47328 57072 60639 66912 80852 114144 121278 161704 242556 323408 485112 646816 970224 1940448