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940437056 = 26132938977
BaseRepresentation
bin111000000011011…
…110111001000000
32102112121011010002
4320003132321000
53411222441211
6233152455132
732206403666
oct7003367100
92375534102
10940437056
11442941309
12222b4a4a8
1311cab4140
148cc84c36
155786803b
hex380dee40

940437056 has 56 divisors (see below), whose sum is σ = 2079086520. Its totient is φ = 419069952.

The previous prime is 940437007. The next prime is 940437097. The reversal of 940437056 is 650734049.

It can be written as a sum of positive squares in 4 ways, for example, as 3097600 + 937339456 = 1760^2 + 30616^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4640 + ... + 43616.

It is an arithmetic number, because the mean of its divisors is an integer number (37126545).

Almost surely, 2940437056 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 940437056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039543260).

940437056 is an abundant number, since it is smaller than the sum of its proper divisors (1138649464).

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

940437056 is a wasteful number, since it uses less digits than its factorization.

940437056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39031 (or 39021 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 940437056 is about 30666.5462026619. The cubic root of 940437056 is about 979.7379057543.

The spelling of 940437056 in words is "nine hundred forty million, four hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 1508 1856 3016 6032 12064 24128 38977 77954 155908 311816 506701 623632 1013402 1130333 1247264 2026804 2260666 2494528 4053608 4521332 8107216 9042664 14694329 16214432 18085328 29388658 32428864 36170656 58777316 72341312 117554632 235109264 470218528 940437056