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996836832 = 253237139673
BaseRepresentation
bin111011011010101…
…000010111100000
32120110201120001200
4323122220113200
54020142234312
6242525401200
733462654555
oct7332502740
92513646050
10996836832
114717632a2
12239a09200
1312b6a04a4
1496566a2c
155c7a90dc
hex3b6a85e0

996836832 has 144 divisors (see below), whose sum is σ = 2936671920. Its totient is φ = 320495616.

The previous prime is 996836821. The next prime is 996836833. The reversal of 996836832 is 238638699.

996836832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996836833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1480848 + ... + 1481520.

It is an arithmetic number, because the mean of its divisors is an integer number (20393555).

Almost surely, 2996836832 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 996836832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468335960).

996836832 is an abundant number, since it is smaller than the sum of its proper divisors (1939835088).

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

996836832 is a wasteful number, since it uses less digits than its factorization.

996836832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 854 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 996836832 is about 31572.7229107659. The cubic root of 996836832 is about 998.9444969720.

The spelling of 996836832 in words is "nine hundred ninety-six million, eight hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 139 144 148 222 278 288 296 333 417 444 556 592 666 673 834 888 1112 1184 1251 1332 1346 1668 1776 2019 2224 2502 2664 2692 3336 3552 4038 4448 5004 5143 5328 5384 6057 6672 8076 10008 10286 10656 10768 12114 13344 15429 16152 20016 20572 21536 24228 24901 30858 32304 40032 41144 46287 48456 49802 61716 64608 74703 82288 92574 93547 96912 99604 123432 149406 164576 185148 187094 193824 199208 224109 246864 280641 298812 370296 374188 398416 448218 493728 561282 597624 740592 748376 796832 841923 896436 1122564 1195248 1481184 1496752 1683846 1792872 2245128 2390496 2993504 3367692 3461239 3585744 4490256 6735384 6922478 7171488 8980512 10383717 13470768 13844956 20767434 26941536 27689912 31151151 41534868 55379824 62302302 83069736 110759648 124604604 166139472 249209208 332278944 498418416 996836832