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74800080 = 24325103889
BaseRepresentation
bin1000111010101…
…01101111010000
312012202020102100
410131111233100
5123122100310
611231120400
71565535015
oct435255720
9165666370
1074800080
113924a453
1221073100
131265c604
149d1170c
156877ec0
hex4755bd0

74800080 has 60 divisors (see below), whose sum is σ = 251206020. Its totient is φ = 19946496.

The previous prime is 74800057. The next prime is 74800109. The reversal of 74800080 is 8000847.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39087504 + 35712576 = 6252^2 + 5976^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51225 + ... + 52664.

It is an arithmetic number, because the mean of its divisors is an integer number (4186767).

Almost surely, 274800080 is an apocalyptic number.

It is an amenable number.

74800080 is an abundant number, since it is smaller than the sum of its proper divisors (176405940).

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

74800080 is a wasteful number, since it uses less digits than its factorization.

74800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103908 (or 103899 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 74800080 is about 8648.7039491475. The cubic root of 74800080 is about 421.3412901967.

The spelling of 74800080 in words is "seventy-four million, eight hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 103889 207778 311667 415556 519445 623334 831112 935001 1038890 1246668 1558335 1662224 1870002 2077780 2493336 3116670 3740004 4155560 4675005 4986672 6233340 7480008 8311120 9350010 12466680 14960016 18700020 24933360 37400040 74800080