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78539040 = 2532554541
BaseRepresentation
bin1001010111001…
…10100100100000
312110210012022100
410223212210200
5130101222130
611443210400
71642366536
oct453464440
9173705270
1078539040
11403735a8
1222376a00
131336b408
14a606156
156d65c60
hex4ae6920

78539040 has 72 divisors (see below), whose sum is σ = 268019388. Its totient is φ = 20943360.

The previous prime is 78539023. The next prime is 78539077. The reversal of 78539040 is 4093587.

It can be written as a sum of positive squares in 2 ways, for example, as 67963536 + 10575504 = 8244^2 + 3252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 78538986 and 78539004.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25831 + ... + 28710.

Almost surely, 278539040 is an apocalyptic number.

It is an amenable number.

78539040 is an abundant number, since it is smaller than the sum of its proper divisors (189480348).

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

78539040 is a wasteful number, since it uses less digits than its factorization.

78539040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54562 (or 54551 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 78539040 is about 8862.2254541396. The cubic root of 78539040 is about 428.2478548091.

The spelling of 78539040 in words is "seventy-eight million, five hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 54541 109082 163623 218164 272705 327246 436328 490869 545410 654492 818115 872656 981738 1090820 1308984 1636230 1745312 1963476 2181640 2454345 2617968 3272460 3926952 4363280 4908690 5235936 6544920 7853904 8726560 9817380 13089840 15707808 19634760 26179680 39269520 78539040