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996986592 = 253272917053
BaseRepresentation
bin111011011011001…
…100111011100000
32120111000011111100
4323123030323200
54020212032332
6242532514400
733464150310
oct7333147340
92514004440
10996986592
11471855868
12239a7ba00
1312b7236c4
14965a5440
155c7d867c
hex3b6ccee0

996986592 has 144 divisors (see below), whose sum is σ = 3352134240. Its totient is φ = 275014656.

The previous prime is 996986579. The next prime is 996986593. The reversal of 996986592 is 295689699.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996986593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49938 + ... + 66990.

It is an arithmetic number, because the mean of its divisors is an integer number (23278710).

Almost surely, 2996986592 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 996986592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676067120).

996986592 is an abundant number, since it is smaller than the sum of its proper divisors (2355147648).

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

996986592 is a wasteful number, since it uses less digits than its factorization.

996986592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17105 (or 17094 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The square root of 996986592 is about 31575.0944891698. The cubic root of 996986592 is about 998.9945200155.

It can be divided in two parts, 996986 and 592, that added together give a triangular number (997578 = T1412).

The spelling of 996986592 in words is "nine hundred ninety-six million, nine hundred eighty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 17053 19488 29232 34106 51159 58464 68212 102318 119371 136424 153477 204636 238742 272848 306954 358113 409272 477484 494537 545696 613908 716226 818544 954968 989074 1074339 1227816 1432452 1483611 1637088 1909936 1978148 2148678 2455632 2864904 2967222 3461759 3819872 3956296 4297356 4450833 4911264 5729808 5934444 6923518 7912592 8594712 8901666 10385277 11459616 11868888 13847036 15825184 17189424 17803332 20770554 23737776 27694072 31155831 34378848 35606664 41541108 47475552 55388144 62311662 71213328 83082216 110776288 124623324 142426656 166164432 249246648 332328864 498493296 996986592