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996415728 = 2437112571049
BaseRepresentation
bin111011011001000…
…001100011110000
32120102221011102020
4323121001203300
54020040300403
6242512351440
733456252060
oct7331014360
92512834366
10996415728
114714a5980
12239845580
1312b583909
14964973a0
155c724453
hex3b6418f0

996415728 has 160 divisors (see below), whose sum is σ = 3224793600. Its totient is φ = 257556480.

The previous prime is 996415691. The next prime is 996415751. The reversal of 996415728 is 827514699.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949348 + ... + 950396.

It is an arithmetic number, because the mean of its divisors is an integer number (20154960).

Almost surely, 2996415728 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 996415728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612396800).

996415728 is an abundant number, since it is smaller than the sum of its proper divisors (2228377872).

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

996415728 is a wasteful number, since it uses less digits than its factorization.

996415728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 996415728 is about 31566.0534118537. The cubic root of 996415728 is about 998.8038123724.

The spelling of 996415728 in words is "nine hundred ninety-six million, four hundred fifteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 257 264 308 336 462 514 528 616 771 924 1028 1049 1232 1542 1799 1848 2056 2098 2827 3084 3147 3598 3696 4112 4196 5397 5654 6168 6294 7196 7343 8392 8481 10794 11308 11539 12336 12588 14392 14686 16784 16962 19789 21588 22029 22616 23078 25176 28784 29372 33924 34617 39578 43176 44058 45232 46156 50352 58744 59367 67848 69234 79156 80773 86352 88116 92312 117488 118734 135696 138468 158312 161546 176232 184624 237468 242319 269593 276936 316624 323092 352464 474936 484638 539186 553872 646184 808779 949872 969276 1078372 1292368 1617558 1887151 1938552 2156744 2965523 3235116 3774302 3877104 4313488 5661453 5931046 6470232 7548604 8896569 11322906 11862092 12940464 15097208 17793138 20758661 22645812 23724184 30194416 35586276 41517322 45291624 47448368 62275983 71172552 83034644 90583248 124551966 142345104 166069288 249103932 332138576 498207864 996415728