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996540384 = 25373147837
BaseRepresentation
bin111011011001011…
…111111111100000
32120110011111102010
4323121133333200
54020103243014
6242515152520
733460311360
oct7331377740
92513144363
10996540384
114715805a4
122398a5740
1312b5c8588
14964ca9a0
155c74b359
hex3b65ffe0

996540384 has 96 divisors (see below), whose sum is σ = 3086125056. Its totient is φ = 275535360.

The previous prime is 996540331. The next prime is 996540403. The reversal of 996540384 is 483045699.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3087 + ... + 44750.

It is an arithmetic number, because the mean of its divisors is an integer number (32147136).

Almost surely, 2996540384 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 996540384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543062528).

996540384 is an abundant number, since it is smaller than the sum of its proper divisors (2089584672).

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

996540384 is a wasteful number, since it uses less digits than its factorization.

996540384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47888 (or 47880 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 996540384 is about 31568.0278763182. The cubic root of 996540384 is about 998.8454622222.

The spelling of 996540384 in words is "nine hundred ninety-six million, five hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 47837 95674 143511 191348 287022 334859 382696 574044 669718 765392 1004577 1148088 1339436 1482947 1530784 2009154 2296176 2678872 2965894 4018308 4448841 4592352 5357744 5931788 8036616 8897682 10380629 10715488 11863576 16073232 17795364 20761258 23727152 31141887 32146464 35590728 41522516 47454304 62283774 71181456 83045032 124567548 142362912 166090064 249135096 332180128 498270192 996540384