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99007056 = 2433317393
BaseRepresentation
bin1011110011010…
…11101001010000
320220022002011000
411321223221100
5200321211211
613454022000
72311355211
oct571535120
9226262130
1099007056
1150983515
12291a7900
1317686875
14d213408
158a5a656
hex5e6ba50

99007056 has 80 divisors (see below), whose sum is σ = 293393920. Its totient is φ = 31933440.

The previous prime is 99007037. The next prime is 99007057. The reversal of 99007056 is 65070099.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 99007056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99007057) 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, 9696 + ... + 17088.

It is an arithmetic number, because the mean of its divisors is an integer number (3667424).

Almost surely, 299007056 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 99007056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146696960).

99007056 is an abundant number, since it is smaller than the sum of its proper divisors (194386864).

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

99007056 is a wasteful number, since it uses less digits than its factorization.

99007056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7441 (or 7429 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 99007056 is about 9950.2289420897. The cubic root of 99007056 is about 462.6174910662.

The spelling of 99007056 in words is "ninety-nine million, seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 7393 13392 14786 22179 29572 44358 59144 66537 88716 118288 133074 177432 199611 229183 266148 354864 399222 458366 532296 687549 798444 916732 1064592 1375098 1596888 1833464 2062647 2750196 3193776 3666928 4125294 5500392 6187941 8250588 11000784 12375882 16501176 24751764 33002352 49503528 99007056