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996938496 = 2833236271
BaseRepresentation
bin111011011011000…
…001001100000000
32120110220201112000
4323123001030000
54020204012441
6242531504000
733463560141
oct7333011400
92513821460
10996938496
11471822714
12239a58000
1312b707848
1496591ac8
155c7c92b6
hex3b6c1300

996938496 has 144 divisors (see below), whose sum is σ = 3076792320. Its totient is φ = 317813760.

The previous prime is 996938461. The next prime is 996938513. The reversal of 996938496 is 694839699.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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, 155841 + ... + 162111.

Almost surely, 2996938496 is an apocalyptic number.

996938496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538396160).

996938496 is an abundant number, since it is smaller than the sum of its proper divisors (2079853824).

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

996938496 is a wasteful number, since it uses less digits than its factorization.

996938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6319 (or 6299 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The square root of 996938496 is about 31574.3328670615. The cubic root of 996938496 is about 998.9784554688.

The spelling of 996938496 in words is "nine hundred ninety-six million, nine hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4416 4968 5888 6271 6624 6912 8832 9936 12542 13248 17664 18813 19872 25084 26496 37626 39744 50168 52992 56439 75252 79488 100336 112878 144233 150504 158976 169317 200672 225756 288466 301008 338634 401344 432699 451512 576932 602016 677268 802688 865398 903024 1153864 1204032 1298097 1354536 1605376 1730796 1806048 2307728 2408064 2596194 2709072 3461592 3612096 3894291 4615456 4816128 5192388 5418144 6923184 7224192 7788582 9230912 10384776 10836288 13846368 14448384 15577164 18461824 20769552 21672576 27692736 31154328 36923648 41539104 43345152 55385472 62308656 83078208 110770944 124617312 166156416 249234624 332312832 498469248 996938496