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68449632 = 2531993583
BaseRepresentation
bin1000001010001…
…11010101100000
311202210121020120
410011013111200
5120010342012
610443040240
71460545416
oct405072540
9152717216
1068449632
1135702249
121ab10080
1311247c54
14913b2b6
15602158c
hex4147560

68449632 has 48 divisors (see below), whose sum is σ = 180633600. Its totient is φ = 22695552.

The previous prime is 68449613. The next prime is 68449651. The reversal of 68449632 is 23694486.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68449613) and next prime (68449651).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17313 + ... + 20895.

It is an arithmetic number, because the mean of its divisors is an integer number (3763200).

Almost surely, 268449632 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 68449632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316800).

68449632 is an abundant number, since it is smaller than the sum of its proper divisors (112183968).

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

68449632 is a wasteful number, since it uses less digits than its factorization.

68449632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3787 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 68449632 is about 8273.4292769081. The cubic root of 68449632 is about 409.0631633887.

The spelling of 68449632 in words is "sixty-eight million, four hundred forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 3583 4776 6368 7166 9552 10749 14332 19104 21498 28664 42996 57328 85992 114656 171984 343968 713017 1426034 2139051 2852068 4278102 5704136 8556204 11408272 17112408 22816544 34224816 68449632