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78448608 = 25337217109
BaseRepresentation
bin1001010110100…
…00011111100000
312110121121021000
410223100133200
5130040323413
611441232000
71641542100
oct453203740
9173547230
1078448608
1140311667
1222332600
13133391c4
14a5c1200
156d49073
hex4ad07e0

78448608 has 288 divisors, whose sum is σ = 284407200. Its totient is φ = 20901888.

The previous prime is 78448589. The next prime is 78448613. The reversal of 78448608 is 80684487.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719658 + ... + 719766.

It is an arithmetic number, because the mean of its divisors is an integer number (987525).

Almost surely, 278448608 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 78448608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142203600).

78448608 is an abundant number, since it is smaller than the sum of its proper divisors (205958592).

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

78448608 is a wasteful number, since it uses less digits than its factorization.

78448608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 78448608 is about 8857.1218801595. The cubic root of 78448608 is about 428.0834262506.

The spelling of 78448608 in words is "seventy-eight million, four hundred forty-eight thousand, six hundred eight".