Search a number
-
+
99255936 = 2731359337
BaseRepresentation
bin1011110101010…
…00011010000000
320220202201112210
411322220122000
5200402142221
613503222120
72313442623
oct572503200
9226681483
1099255936
11510334aa
12292a7940
1317742c30
14d279dba
158aa9276
hex5ea8680

99255936 has 128 divisors (see below), whose sum is σ = 289598400. Its totient is φ = 29933568.

The previous prime is 99255917. The next prime is 99255973. The reversal of 99255936 is 63955299.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294360 + ... + 294696.

Almost surely, 299255936 is an apocalyptic number.

99255936 is a gapful number since it is divisible by the number (96) 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 99255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144799200).

99255936 is an abundant number, since it is smaller than the sum of its proper divisors (190342464).

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

99255936 is a wasteful number, since it uses less digits than its factorization.

99255936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its digits is 656100, while the sum is 48.

The square root of 99255936 is about 9962.7273374313. The cubic root of 99255936 is about 463.0048031944.

The spelling of 99255936 in words is "ninety-nine million, two hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 64 78 96 104 118 128 156 177 192 208 236 312 337 354 384 416 472 624 674 708 767 832 944 1011 1248 1348 1416 1534 1664 1888 2022 2301 2496 2696 2832 3068 3776 4044 4381 4602 4992 5392 5664 6136 7552 8088 8762 9204 10784 11328 12272 13143 16176 17524 18408 19883 21568 22656 24544 26286 32352 35048 36816 39766 43136 49088 52572 59649 64704 70096 73632 79532 98176 105144 119298 129408 140192 147264 159064 210288 238596 258479 280384 294528 318128 420576 477192 516958 560768 636256 775437 841152 954384 1033916 1272512 1550874 1682304 1908768 2067832 2545024 3101748 3817536 4135664 6203496 7635072 8271328 12406992 16542656 24813984 33085312 49627968 99255936