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99644416 = 210314373
BaseRepresentation
bin1011111000001…
…11010000000000
320221111110102221
411330013100000
5201002110131
613515420424
72316651334
oct574072000
9227443387
1099644416
1151279363
1229454714
131784a9c1
14d33b7c4
158b34411
hex5f07400

99644416 has 88 divisors (see below), whose sum is σ = 213281024. Its totient is φ = 46448640.

The previous prime is 99644407. The next prime is 99644423. The reversal of 99644416 is 61444699.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1364956 + ... + 1365028.

It is an arithmetic number, because the mean of its divisors is an integer number (2423648).

Almost surely, 299644416 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 99644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106640512).

99644416 is an abundant number, since it is smaller than the sum of its proper divisors (113636608).

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

99644416 is a wasteful number, since it uses less digits than its factorization.

99644416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 99644416 is about 9982.2049668397. The cubic root of 99644416 is about 463.6080717372.

The spelling of 99644416 in words is "ninety-nine million, six hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 43 62 64 73 86 124 128 146 172 248 256 292 344 496 512 584 688 992 1024 1168 1333 1376 1984 2263 2336 2666 2752 3139 3968 4526 4672 5332 5504 6278 7936 9052 9344 10664 11008 12556 15872 18104 18688 21328 22016 25112 31744 36208 37376 42656 44032 50224 72416 74752 85312 97309 100448 144832 170624 194618 200896 289664 341248 389236 401792 579328 682496 778472 803584 1158656 1364992 1556944 1607168 2317312 3113888 3214336 6227776 12455552 24911104 49822208 99644416