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996473920 = 26513317727
BaseRepresentation
bin111011011001001…
…111110001000000
32120110001010020111
4323121033301000
54020044131140
6242513521104
733456613531
oct7331176100
92513033214
10996473920
11471535672
12239873194
1312b5a4250
14964b0688
155c7367ea
hex3b64fc40

996473920 has 112 divisors (see below), whose sum is σ = 2638153728. Its totient is φ = 356014080.

The previous prime is 996473911. The next prime is 996473923. The reversal of 996473920 is 29374699.

996473920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (996473923) 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, 125097 + ... + 132823.

It is an arithmetic number, because the mean of its divisors is an integer number (23554944).

Almost surely, 2996473920 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 996473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319076864).

996473920 is an abundant number, since it is smaller than the sum of its proper divisors (1641679808).

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

996473920 is a wasteful number, since it uses less digits than its factorization.

996473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7788 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The square root of 996473920 is about 31566.9751480879. The cubic root of 996473920 is about 998.8232558163.

The spelling of 996473920 in words is "nine hundred ninety-six million, four hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 130 155 160 208 248 260 310 320 403 416 496 520 620 806 832 992 1040 1240 1612 1984 2015 2080 2480 3224 4030 4160 4960 6448 7727 8060 9920 12896 15454 16120 25792 30908 32240 38635 61816 64480 77270 100451 123632 128960 154540 200902 239537 247264 309080 401804 479074 494528 502255 618160 803608 958148 1004510 1197685 1236320 1607216 1916296 2009020 2395370 2472640 3113981 3214432 3832592 4018040 4790740 6227962 6428864 7665184 8036080 9581480 12455924 15330368 15569905 16072160 19162960 24911848 31139810 32144320 38325920 49823696 62279620 76651840 99647392 124559240 199294784 249118480 498236960 996473920