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78238960 = 2451951473
BaseRepresentation
bin1001010100111…
…01010011110000
312110012221200021
410222131103300
5130012121320
611432533224
71640006632
oct452352360
9173187607
1078238960
11401890a8
1222251214
1313294957
14a568a52
156d06daa
hex4a9d4f0

78238960 has 40 divisors (see below), whose sum is σ = 191483280. Its totient is φ = 29647872.

The previous prime is 78238949. The next prime is 78238969. The reversal of 78238960 is 6983287.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×782389602 = 12242669723763200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78238969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24217 + ... + 27256.

It is an arithmetic number, because the mean of its divisors is an integer number (4787082).

Almost surely, 278238960 is an apocalyptic number.

It is an amenable number.

78238960 is an abundant number, since it is smaller than the sum of its proper divisors (113244320).

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

78238960 is a wasteful number, since it uses less digits than its factorization.

78238960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51505 (or 51499 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 78238960 is about 8845.2789667709. The cubic root of 78238960 is about 427.7017457995.

The spelling of 78238960 in words is "seventy-eight million, two hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 51473 102946 205892 257365 411784 514730 823568 977987 1029460 1955974 2058920 3911948 4117840 4889935 7823896 9779870 15647792 19559740 39119480 78238960