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99946496 = 212131877
BaseRepresentation
bin1011111010100…
…01000000000000
320222001210211002
411331101000000
5201041241441
613530111132
72322350126
oct575210000
9228053732
1099946496
1151465311
122957b4a8
1317925350
14d3b9916
158b93b9b
hex5f51000

99946496 has 52 divisors (see below), whose sum is σ = 215357772. Its totient is φ = 46104576.

The previous prime is 99946493. The next prime is 99946501. The reversal of 99946496 is 69464999.

It can be written as a sum of positive squares in 2 ways, for example, as 36966400 + 62980096 = 6080^2 + 7936^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is not an unprimeable number, because it can be changed into a prime (99946493) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52310 + ... + 54186.

Almost surely, 299946496 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 99946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107678886).

99946496 is an abundant number, since it is smaller than the sum of its proper divisors (115411276).

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

99946496 is a wasteful number, since it uses less digits than its factorization.

99946496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1892 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 56.

The square root of 99946496 is about 9997.3244420695. The cubic root of 99946496 is about 464.0760874035.

The spelling of 99946496 in words is "ninety-nine million, nine hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 1877 2048 3328 3754 4096 6656 7508 13312 15016 24401 26624 30032 48802 53248 60064 97604 120128 195208 240256 390416 480512 780832 961024 1561664 1922048 3123328 3844096 6246656 7688192 12493312 24986624 49973248 99946496