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99760752 = 243271323331
BaseRepresentation
bin1011111001000…
…11101001110000
320221201101000200
411330203221300
5201014321002
613522115200
72320644450
oct574435160
9227641020
1099760752
1151348803
12294abb00
131788b940
14d36bd60
158b58b1c
hex5f23a70

99760752 has 240 divisors, whose sum is σ = 359643648. Its totient is φ = 25090560.

The previous prime is 99760741. The next prime is 99760757. The reversal of 99760752 is 25706799.

It is a junction number, because it is equal to n+sod(n) for n = 99760698 and 99760707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99760757) 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, 301227 + ... + 301557.

Almost surely, 299760752 is an apocalyptic number.

99760752 is a gapful number since it is divisible by the number (92) 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 99760752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179821824).

99760752 is an abundant number, since it is smaller than the sum of its proper divisors (259882896).

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

99760752 is a wasteful number, since it uses less digits than its factorization.

99760752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 99760752 is about 9988.0304364775. The cubic root of 99760752 is about 463.7884241502.

The spelling of 99760752 in words is "ninety-nine million, seven hundred sixty thousand, seven hundred fifty-two".