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99778272 = 25311194973
BaseRepresentation
bin1011111001001…
…11111011100000
320221202021001120
411330213323200
5201020401042
613522332240
72321046516
oct574477340
9227667046
1099778272
115135a990
12294ba080
13178968c9
14d3744b6
158b5ddec
hex5f27ee0

99778272 has 96 divisors (see below), whose sum is σ = 300827520. Its totient is φ = 28638720.

The previous prime is 99778271. The next prime is 99778309. The reversal of 99778272 is 27287799.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99778271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17578 + ... + 22550.

It is an arithmetic number, because the mean of its divisors is an integer number (3133620).

Almost surely, 299778272 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 99778272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150413760).

99778272 is an abundant number, since it is smaller than the sum of its proper divisors (201049248).

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

99778272 is a wasteful number, since it uses less digits than its factorization.

99778272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5008 counting only the distinct ones).

The product of its digits is 889056, while the sum is 51.

The square root of 99778272 is about 9988.9074477642. The cubic root of 99778272 is about 463.8155727612.

The spelling of 99778272 in words is "ninety-nine million, seven hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 4973 5016 6688 9946 10032 14919 19892 20064 29838 39784 54703 59676 79568 94487 109406 119352 159136 164109 188974 218812 238704 283461 328218 377948 437624 477408 566922 656436 755896 875248 1039357 1133844 1312872 1511792 1750496 2078714 2267688 2625744 3023584 3118071 4157428 4535376 5251488 6236142 8314856 9070752 12472284 16629712 24944568 33259424 49889136 99778272