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96244992 = 2832371129
BaseRepresentation
bin1011011110010…
…01010100000000
320201002202022100
411233021110000
5144114314432
613314510400
72246032434
oct557112400
9221082270
1096244992
114a367318
1228295400
1316c2a5cc
14cad49c4
1586b207c
hex5bc9500

96244992 has 108 divisors (see below), whose sum is σ = 285250420. Its totient is φ = 31186944.

The previous prime is 96244969. The next prime is 96245003. The reversal of 96244992 is 29944269.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 49787136 = 6816^2 + 7056^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84684 + ... + 85812.

Almost surely, 296244992 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 96244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142625210).

96244992 is an abundant number, since it is smaller than the sum of its proper divisors (189005428).

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

96244992 is a wasteful number, since it uses less digits than its factorization.

96244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1171 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 96244992 is about 9810.4532005407. The cubic root of 96244992 is about 458.2748742483.

It can be divided in two parts, 962 and 44992, that added together give a palindrome (45954).

The spelling of 96244992 in words is "ninety-six million, two hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 576 592 666 768 888 1129 1152 1184 1332 1776 2258 2304 2368 2664 3387 3552 4516 4736 5328 6774 7104 9032 9472 10161 10656 13548 14208 18064 20322 21312 27096 28416 36128 40644 41773 42624 54192 72256 81288 83546 85248 108384 125319 144512 162576 167092 216768 250638 289024 325152 334184 375957 433536 501276 650304 668368 751914 867072 1002552 1300608 1336736 1503828 2005104 2601216 2673472 3007656 4010208 5346944 6015312 8020416 10693888 12030624 16040832 24061248 32081664 48122496 96244992