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99432416 = 2529109983
BaseRepresentation
bin1011110110100…
…11011111100000
320221002200122002
411323103133200
5200423314131
613511103132
72315106266
oct573233740
9227080562
1099432416
1151144056
1229371aa8
13177a5365
14d2c4436
158ae16cb
hex5ed37e0

99432416 has 48 divisors (see below), whose sum is σ = 204573600. Its totient is φ = 47513088.

The previous prime is 99432409. The next prime is 99432419. The reversal of 99432416 is 61423499.

It is a self number, because there is not a number n which added to its sum of digits gives 99432416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99432419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100661 + ... + 101643.

It is an arithmetic number, because the mean of its divisors is an integer number (4261950).

Almost surely, 299432416 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 99432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102286800).

99432416 is an abundant number, since it is smaller than the sum of its proper divisors (105141184).

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

99432416 is a wasteful number, since it uses less digits than its factorization.

99432416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1123 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 99432416 is about 9971.5804163633. The cubic root of 99432416 is about 463.2790528111.

The spelling of 99432416 in words is "ninety-nine million, four hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 109 116 218 232 436 464 872 928 983 1744 1966 3161 3488 3932 6322 7864 12644 15728 25288 28507 31456 50576 57014 101152 107147 114028 214294 228056 428588 456112 857176 912224 1714352 3107263 3428704 6214526 12429052 24858104 49716208 99432416