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96633488 = 2472232233
BaseRepresentation
bin1011100001010…
…00001010010000
320201211111020002
411300220022100
5144214232423
613331105132
72252241200
oct560501220
9221744202
1096633488
114a602196
12284421a8
13170353a3
14cb96400
15873c228
hex5c28290

96633488 has 90 divisors (see below), whose sum is σ = 228653334. Its totient is φ = 39443712.

The previous prime is 96633473. The next prime is 96633499. The reversal of 96633488 is 88433669.

It can be written as a sum of positive squares in only one way, i.e., 70090384 + 26543104 = 8372^2 + 5152^2 .

It is a super-2 number, since 2×966334882 = 18676062006092288, which contains 22 as substring.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 414620 + ... + 414852.

Almost surely, 296633488 is an apocalyptic number.

96633488 is a gapful number since it is divisible by the number (98) 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 96633488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114326667).

96633488 is an abundant number, since it is smaller than the sum of its proper divisors (132019846).

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

96633488 is a wasteful number, since it uses less digits than its factorization.

96633488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 265 counting only the distinct ones).

The product of its digits is 746496, while the sum is 47.

The square root of 96633488 is about 9830.2333644731. The cubic root of 96633488 is about 458.8906601908.

The spelling of 96633488 in words is "ninety-six million, six hundred thirty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 233 322 368 392 466 529 644 784 932 1058 1127 1288 1631 1864 2116 2254 2576 3262 3703 3728 4232 4508 5359 6524 7406 8464 9016 10718 11417 13048 14812 18032 21436 22834 25921 26096 29624 37513 42872 45668 51842 59248 75026 85744 91336 103684 123257 150052 182672 207368 246514 262591 300104 414736 493028 525182 600208 862799 986056 1050364 1725598 1972112 2100728 3451196 4201456 6039593 6902392 12079186 13804784 24158372 48316744 96633488