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996088416 = 253234091103
BaseRepresentation
bin111011010111110…
…001101001100000
32120102022112102120
4323113301221200
54014444312131
6242501344240
733453416601
oct7327615140
92512275376
10996088416
114712a1a74
12239708080
1312b49a93b
149640dda8
155c6ac496
hex3b5f1a60

996088416 has 96 divisors (see below), whose sum is σ = 2737566720. Its totient is φ = 316529664.

The previous prime is 996088391. The next prime is 996088417. The reversal of 996088416 is 614880699.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996088417) 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, 902521 + ... + 903623.

It is an arithmetic number, because the mean of its divisors is an integer number (28516320).

Almost surely, 2996088416 is an apocalyptic number.

996088416 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 996088416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368783360).

996088416 is an abundant number, since it is smaller than the sum of its proper divisors (1741478304).

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

996088416 is a wasteful number, since it uses less digits than its factorization.

996088416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 996088416 is about 31560.8684291165. The cubic root of 996088416 is about 998.6944349082.

The spelling of 996088416 in words is "nine hundred ninety-six million, eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 409 552 736 818 1103 1104 1227 1636 2206 2208 2454 3272 3309 4412 4908 6544 6618 8824 9407 9816 13088 13236 17648 18814 19632 25369 26472 28221 35296 37628 39264 50738 52944 56442 75256 76107 101476 105888 112884 150512 152214 202952 225768 301024 304428 405904 451127 451536 608856 811808 902254 903072 1217712 1353381 1804508 2435424 2706762 3609016 5413524 7218032 10375921 10827048 14436064 20751842 21654096 31127763 41503684 43308192 62255526 83007368 124511052 166014736 249022104 332029472 498044208 996088416