Search a number
-
+
99315888 = 24371947331
BaseRepresentation
bin1011110101101…
…11000010110000
320220212202210020
411322313002300
5200411102023
613504403440
72314112460
oct572670260
9226782706
1099315888
1151074551
1229316580
13177642c9
14d293ba0
158abbde3
hex5eb70b0

99315888 has 160 divisors (see below), whose sum is σ = 316170240. Its totient is φ = 26231040.

The previous prime is 99315883. The next prime is 99315919. The reversal of 99315888 is 88851399.

It is a self number, because there is not a number n which added to its sum of digits gives 99315888.

It is not an unprimeable number, because it can be changed into a prime (99315883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299883 + ... + 300213.

It is an arithmetic number, because the mean of its divisors is an integer number (1976064).

Almost surely, 299315888 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 99315888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158085120).

99315888 is an abundant number, since it is smaller than the sum of its proper divisors (216854352).

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

99315888 is a wasteful number, since it uses less digits than its factorization.

99315888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its digits is 622080, while the sum is 51.

The square root of 99315888 is about 9965.7356978800. The cubic root of 99315888 is about 463.0980049319.

It can be divided in two parts, 993 and 15888, that multiplied together give a square (15776784 = 39722).

The spelling of 99315888 in words is "ninety-nine million, three hundred fifteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 47 48 56 57 76 84 94 112 114 133 141 152 168 188 228 266 282 304 329 331 336 376 399 456 532 564 658 662 752 798 893 912 987 993 1064 1128 1316 1324 1596 1786 1974 1986 2128 2256 2317 2632 2648 2679 3192 3572 3948 3972 4634 5264 5296 5358 6251 6289 6384 6951 7144 7896 7944 9268 10716 12502 12578 13902 14288 15557 15792 15888 18536 18753 18867 21432 25004 25156 27804 31114 37072 37506 37734 42864 44023 46671 50008 50312 55608 62228 75012 75468 88046 93342 100016 100624 108899 111216 124456 132069 150024 150936 176092 186684 217798 248912 264138 295583 300048 301872 326697 352184 373368 435596 528276 591166 653394 704368 746736 871192 886749 1056552 1182332 1306788 1742384 1773498 2069081 2113104 2364664 2613576 3546996 4138162 4729328 5227152 6207243 7093992 8276324 12414486 14187984 16552648 24828972 33105296 49657944 99315888