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99645408 = 25323111161
BaseRepresentation
bin1011111000001…
…11011111100000
320221111111210200
411330013133200
5201002123113
613515425200
72316654252
oct574073740
9227444720
1099645408
115127a085
1229455200
131784b2a5
14d33bcd2
158b34873
hex5f077e0

99645408 has 72 divisors (see below), whose sum is σ = 292533696. Its totient is φ = 32140800.

The previous prime is 99645341. The next prime is 99645409. The reversal of 99645408 is 80454699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99645409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3348 + ... + 14508.

It is an arithmetic number, because the mean of its divisors is an integer number (4062968).

Almost surely, 299645408 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 99645408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146266848).

99645408 is an abundant number, since it is smaller than the sum of its proper divisors (192888288).

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

99645408 is a wasteful number, since it uses less digits than its factorization.

99645408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11208 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 99645408 is about 9982.2546551368. The cubic root of 99645408 is about 463.6096102000.

The spelling of 99645408 in words is "ninety-nine million, six hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 11161 22322 33483 44644 66966 89288 100449 133932 178576 200898 267864 345991 357152 401796 535728 691982 803592 1037973 1071456 1383964 1607184 2075946 2767928 3113919 3214368 4151892 5535856 6227838 8303784 11071712 12455676 16607568 24911352 33215136 49822704 99645408