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78855040 = 2751123487
BaseRepresentation
bin1001011001100…
…11101110000000
312111101020210001
410230303232000
5130141330130
611454045344
71645154035
oct454635600
9174336701
1078855040
1140569a60
12224a9854
131344c1b4
14a68938c
156dc96ca
hex4b33b80

78855040 has 128 divisors (see below), whose sum is σ = 215032320. Its totient is φ = 27371520.

The previous prime is 78855037. The next prime is 78855059. The reversal of 78855040 is 4055887.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161677 + ... + 162163.

It is an arithmetic number, because the mean of its divisors is an integer number (1679940).

Almost surely, 278855040 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 78855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107516160).

78855040 is an abundant number, since it is smaller than the sum of its proper divisors (136177280).

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

78855040 is a wasteful number, since it uses less digits than its factorization.

78855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 78855040 is about 8880.0360359629. The cubic root of 78855040 is about 428.8214346603.

The spelling of 78855040 in words is "seventy-eight million, eight hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 320 352 368 440 460 487 506 640 704 736 880 920 974 1012 1265 1408 1472 1760 1840 1948 2024 2435 2530 2944 3520 3680 3896 4048 4870 5060 5357 7040 7360 7792 8096 9740 10120 10714 11201 14720 15584 16192 19480 20240 21428 22402 26785 31168 32384 38960 40480 42856 44804 53570 56005 62336 77920 80960 85712 89608 107140 112010 123211 155840 161920 171424 179216 214280 224020 246422 311680 342848 358432 428560 448040 492844 616055 685696 716864 857120 896080 985688 1232110 1433728 1714240 1792160 1971376 2464220 3428480 3584320 3942752 4928440 7168640 7885504 9856880 15771008 19713760 39427520 78855040