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96417552 = 243711191373
BaseRepresentation
bin1011011111100…
…11011100010000
320201102112000110
411233303130100
5144140330202
613322321320
72250351510
oct557633420
9221375013
1096417552
114a474a30
1228359240
1316c8b00a
14cb3b840
1586e826c
hex5bf3710

96417552 has 160 divisors (see below), whose sum is σ = 327121920. Its totient is φ = 23708160.

The previous prime is 96417551. The next prime is 96417553. The reversal of 96417552 is 25571469.

It is an interprime number because it is at equal distance from previous prime (96417551) and next prime (96417553).

It is a self number, because there is not a number n which added to its sum of digits gives 96417552.

It is not an unprimeable number, because it can be changed into a prime (96417551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69538 + ... + 70910.

It is an arithmetic number, because the mean of its divisors is an integer number (2044512).

Almost surely, 296417552 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 96417552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163560960).

96417552 is an abundant number, since it is smaller than the sum of its proper divisors (230704368).

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

96417552 is a wasteful number, since it uses less digits than its factorization.

96417552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1415 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 96417552 is about 9819.2439627499. The cubic root of 96417552 is about 458.5485948034.

It can be divided in two parts, 96417 and 552, that added together give a palindrome (96969).

The spelling of 96417552 in words is "ninety-six million, four hundred seventeen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1373 1463 1596 1672 1848 2128 2508 2746 2926 3192 3344 3696 4119 4389 5016 5492 5852 6384 8238 8778 9611 10032 10984 11704 15103 16476 17556 19222 21968 23408 26087 28833 30206 32952 35112 38444 45309 52174 57666 60412 65904 70224 76888 78261 90618 104348 105721 115332 120824 153776 156522 181236 182609 208696 211442 230664 241648 286957 313044 317163 362472 365218 417392 422884 461328 547827 573914 626088 634326 724944 730436 845768 860871 1095654 1147828 1252176 1268652 1460872 1691536 1721742 2008699 2191308 2295656 2537304 2921744 3443484 4017398 4382616 4591312 5074608 6026097 6886968 8034796 8765232 12052194 13773936 16069592 24104388 32139184 48208776 96417552