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78148993 = 1341151971
BaseRepresentation
bin1001010100001…
…11010110000001
312110001101021011
410222013112001
5130001231433
611431000521
71636153426
oct452072601
9173041234
1078148993
114012754a
1222209141
1313262a10
14a543d4d
156cda3cd
hex4a87581

78148993 has 16 divisors (see below), whose sum is σ = 86873472. Its totient is φ = 69840000.

The previous prime is 78148979. The next prime is 78149023. The reversal of 78148993 is 39984187.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 78148993 - 217 = 78017921 is a prime.

It is a super-2 number, since 2×781489932 = 12214530213828098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78148913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79998 + ... + 80968.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 278148993 is an apocalyptic number.

It is an amenable number.

78148993 is a deficient number, since it is larger than the sum of its proper divisors (8724479).

78148993 is a wasteful number, since it uses less digits than its factorization.

78148993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176.

The product of its digits is 435456, while the sum is 49.

The square root of 78148993 is about 8840.1919096816. The cubic root of 78148993 is about 427.5377448064.

It can be divided in two parts, 7814 and 8993, that added together give a 5-th power (16807 = 75).

The spelling of 78148993 in words is "seventy-eight million, one hundred forty-eight thousand, nine hundred ninety-three".

Divisors: 1 13 41 151 533 971 1963 6191 12623 39811 80483 146621 517543 1906073 6011461 78148993