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944210072 = 231329476661
BaseRepresentation
bin111000010001111…
…000000010011000
32102210200211201102
4320101320002120
53413204210242
6233405410532
732253440021
oct7021700230
92383624642
10944210072
11444a89003
12224269a48
131208055b0
148d587c48
1557d60e32
hex38478098

944210072 has 64 divisors (see below), whose sum is σ = 2014588800. Its totient is φ = 411747840.

The previous prime is 944210027. The next prime is 944210081. The reversal of 944210072 is 270012449.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138422 + ... + 145082.

It is an arithmetic number, because the mean of its divisors is an integer number (31477950).

Almost surely, 2944210072 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 944210072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007294400).

944210072 is an abundant number, since it is smaller than the sum of its proper divisors (1070378728).

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

944210072 is a wasteful number, since it uses less digits than its factorization.

944210072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 944210072 is about 30728.0014319187. The cubic root of 944210072 is about 981.0463875362.

The spelling of 944210072 in words is "nine hundred forty-four million, two hundred ten thousand, seventy-two".

Divisors: 1 2 4 8 13 26 29 47 52 58 94 104 116 188 232 376 377 611 754 1222 1363 1508 2444 2726 3016 4888 5452 6661 10904 13322 17719 26644 35438 53288 70876 86593 141752 173186 193169 313067 346372 386338 626134 692744 772676 1252268 1545352 2504536 2511197 4069871 5022394 8139742 9078943 10044788 16279484 18157886 20089576 32558968 36315772 72631544 118026259 236052518 472105036 944210072