Search a number
-
+
997628016 = 243711475743
BaseRepresentation
bin111011011101101…
…001100001110000
32120112012202100210
4323131221201300
54020343044031
6242554344120
733502461330
oct7335514160
92515182323
10997628016
11472153770
1223a12b040
1312b8b9648
14966d10c0
155c8b3746
hex3b769870

997628016 has 160 divisors (see below), whose sum is σ = 3282075648. Its totient is φ = 253566720.

The previous prime is 997627979. The next prime is 997628069. The reversal of 997628016 is 610826799.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 170841 + ... + 176583.

Almost surely, 2997628016 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 997628016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641037824).

997628016 is an abundant number, since it is smaller than the sum of its proper divisors (2284447632).

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

997628016 is a wasteful number, since it uses less digits than its factorization.

997628016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5819 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 997628016 is about 31585.2499752654. The cubic root of 997628016 is about 999.2087126962.

The spelling of 997628016 in words is "nine hundred ninety-seven million, six hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 47 48 56 66 77 84 88 94 112 132 141 154 168 176 188 231 264 282 308 329 336 376 462 517 528 564 616 658 752 924 987 1034 1128 1232 1316 1551 1848 1974 2068 2256 2632 3102 3619 3696 3948 4136 5264 5743 6204 7238 7896 8272 10857 11486 12408 14476 15792 17229 21714 22972 24816 28952 34458 40201 43428 45944 57904 63173 68916 80402 86856 91888 120603 126346 137832 160804 173712 189519 241206 252692 269921 275664 321608 379038 442211 482412 505384 539842 643216 758076 809763 884422 964824 1010768 1079684 1326633 1516152 1619526 1768844 1889447 1929648 2159368 2653266 2969131 3032304 3239052 3537688 3778894 4318736 5306532 5668341 5938262 6478104 7075376 7557788 8907393 10613064 11336682 11876524 12956208 15115576 17814786 20783917 21226128 22673364 23753048 30231152 35629572 41567834 45346728 47506096 62351751 71259144 83135668 90693456 124703502 142518288 166271336 249407004 332542672 498814008 997628016