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99341856 = 2533313709
BaseRepresentation
bin1011110101111…
…01011000100000
320220221002102000
411322331120200
5200412414411
613505124000
72314251255
oct572753040
9226832360
1099341856
1151092009
1229329600
1317773083
14d29d42c
158ac4956
hex5ebd620

99341856 has 96 divisors (see below), whose sum is σ = 299174400. Its totient is φ = 32037120.

The previous prime is 99341833. The next prime is 99341857. The reversal of 99341856 is 65814399.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (99341857) 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, 24930 + ... + 28638.

It is an arithmetic number, because the mean of its divisors is an integer number (3116400).

Almost surely, 299341856 is an apocalyptic number.

99341856 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 99341856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149587200).

99341856 is an abundant number, since it is smaller than the sum of its proper divisors (199832544).

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

99341856 is a wasteful number, since it uses less digits than its factorization.

99341856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3745 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 99341856 is about 9967.0384768997. The cubic root of 99341856 is about 463.1383632984.

It can be divided in two parts, 993 and 41856, that added together give a square (42849 = 2072).

The spelling of 99341856 in words is "ninety-nine million, three hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 3709 4464 6696 7418 8928 11127 13392 14836 22254 26784 29672 33381 44508 59344 66762 89016 100143 114979 118688 133524 178032 200286 229958 267048 344937 356064 400572 459916 534096 689874 801144 919832 1034811 1068192 1379748 1602288 1839664 2069622 2759496 3104433 3204576 3679328 4139244 5518992 6208866 8278488 11037984 12417732 16556976 24835464 33113952 49670928 99341856