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99961488 = 24321125737
BaseRepresentation
bin1011111010101…
…00101010010000
320222002120101100
411331110222100
5201042231423
613530304400
72322441624
oct575245220
9228076340
1099961488
1151475600
1229588100
131792c113
14d3c1184
158b98343
hex5f54a90

99961488 has 90 divisors (see below), whose sum is σ = 307551062. Its totient is φ = 30286080.

The previous prime is 99961483. The next prime is 99961553. The reversal of 99961488 is 88416999.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 45319824 = 7392^2 + 6732^2 .

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

It is not an unprimeable number, because it can be changed into a prime (99961483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14556 + ... + 20292.

Almost surely, 299961488 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 99961488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153775531).

99961488 is an abundant number, since it is smaller than the sum of its proper divisors (207589574).

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

99961488 is a wasteful number, since it uses less digits than its factorization.

99961488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5753 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 99961488 is about 9998.0742145675. The cubic root of 99961488 is about 464.0992900874.

The spelling of 99961488 in words is "ninety-nine million, nine hundred sixty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5737 5808 8712 11474 17211 17424 22948 34422 45896 51633 63107 68844 91792 103266 126214 137688 189321 206532 252428 275376 378642 413064 504856 567963 694177 757284 826128 1009712 1135926 1388354 1514568 2082531 2271852 2776708 3029136 4165062 4543704 5553416 6247593 8330124 9087408 11106832 12495186 16660248 24990372 33320496 49980744 99961488