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99464040 = 233251353401
BaseRepresentation
bin1011110110110…
…11001101101000
320221011022000100
411323123031220
5200430322130
613511505400
72315300424
oct573331550
9227138010
1099464040
1151165895
1229388260
13177b6880
14d2d1b84
158aeac60
hex5edb368

99464040 has 192 divisors, whose sum is σ = 355577040. Its totient is φ = 23961600.

The previous prime is 99464039. The next prime is 99464041. The reversal of 99464040 is 4046499.

99464040 is a `hidden beast` number, since 9 + 9 + 4 + 640 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99464039) and next prime (99464041).

It can be written as a sum of positive squares in 8 ways, for example, as 68260644 + 31203396 = 8262^2 + 5586^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 99463986 and 99464004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99464041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247840 + ... + 248240.

Almost surely, 299464040 is an apocalyptic number.

99464040 is a gapful number since it is divisible by the number (90) 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 99464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177788520).

99464040 is an abundant number, since it is smaller than the sum of its proper divisors (256113000).

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

99464040 is a wasteful number, since it uses less digits than its factorization.

99464040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 99464040 is about 9973.1659968136. The cubic root of 99464040 is about 463.3281621607.

The spelling of 99464040 in words is "ninety-nine million, four hundred sixty-four thousand, forty".