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68890464 = 2532251953
BaseRepresentation
bin1000001101100…
…10111101100000
311210121222221200
410012302331200
5120113443324
610500321200
71464362556
oct406627540
9153558850
1068890464
1135983475
121b0a3200
13113707b6
149213bd6
1560abec9
hex41b2f60

68890464 has 72 divisors (see below), whose sum is σ = 196894152. Its totient is φ = 22848000.

The previous prime is 68890441. The next prime is 68890517. The reversal of 68890464 is 46409886.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71812 + ... + 72764.

It is an arithmetic number, because the mean of its divisors is an integer number (2734641).

Almost surely, 268890464 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 68890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98447076).

68890464 is an abundant number, since it is smaller than the sum of its proper divisors (128003688).

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

68890464 is a wasteful number, since it uses less digits than its factorization.

68890464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 68890464 is about 8300.0279517602. The cubic root of 68890464 is about 409.9394397961.

The spelling of 68890464 in words is "sixty-eight million, eight hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 251 288 502 753 953 1004 1506 1906 2008 2259 2859 3012 3812 4016 4518 5718 6024 7624 8032 8577 9036 11436 12048 15248 17154 18072 22872 24096 30496 34308 36144 45744 68616 72288 91488 137232 239203 274464 478406 717609 956812 1435218 1913624 2152827 2870436 3827248 4305654 5740872 7654496 8611308 11481744 17222616 22963488 34445232 68890464