Search a number
-
+
99672192 = 2732312791
BaseRepresentation
bin1011111000011…
…10000010000000
320221112212112200
411330032002000
5201004002232
613520153200
72320125324
oct574160200
9227485480
1099672192
1151298214
1229468800
131785a539
14d347984
158b3c77c
hex5f0e080

99672192 has 96 divisors (see below), whose sum is σ = 296175360. Its totient is φ = 32140800.

The previous prime is 99672187. The next prime is 99672203. The reversal of 99672192 is 29127699.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34317 + ... + 37107.

It is an arithmetic number, because the mean of its divisors is an integer number (3085160).

Almost surely, 299672192 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 99672192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148087680).

99672192 is an abundant number, since it is smaller than the sum of its proper divisors (196503168).

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

99672192 is a wasteful number, since it uses less digits than its factorization.

99672192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2827 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 99672192 is about 9983.5961456782. The cubic root of 99672192 is about 463.6511448365.

The spelling of 99672192 in words is "ninety-nine million, six hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2791 2976 3968 4464 5582 5952 8373 8928 11164 11904 16746 17856 22328 25119 33492 35712 44656 50238 66984 86521 89312 100476 133968 173042 178624 200952 259563 267936 346084 357248 401904 519126 535872 692168 778689 803808 1038252 1071744 1384336 1557378 1607616 2076504 2768672 3114756 3215232 4153008 5537344 6229512 8306016 11074688 12459024 16612032 24918048 33224064 49836096 99672192