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78148 = 2272791
BaseRepresentation
bin10011000101000100
310222012101
4103011010
510000043
61401444
7443560
oct230504
9128171
1078148
1153794
1239284
1329755
14206a0
151824d
hex13144

78148 has 12 divisors (see below), whose sum is σ = 156352. Its totient is φ = 33480.

The previous prime is 78139. The next prime is 78157. The reversal of 78148 is 84187.

It is an interprime number because it is at equal distance from previous prime (78139) and next prime (78157).

78148 is an admirable number.

It is a super-3 number, since 3×781483 = 1431775274333376, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 2791 = 78148 / (7 + 8 + 1 + 4 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1368 + ... + 1423.

278148 is an apocalyptic number.

It is an amenable number.

78148 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78176).

78148 is a wasteful number, since it uses less digits than its factorization.

78148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2800 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 78148 is about 279.5496378105. The cubic root of 78148 is about 42.7535933963.

The spelling of 78148 in words is "seventy-eight thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 2791 5582 11164 19537 39074 78148