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857148900 = 2235219150377
BaseRepresentation
bin110011000101110…
…000110111100100
32012201212200020120
4303011300313210
53223412231100
6221015401540
730145434246
oct6305606744
92181780216
10857148900
113aa924723
121bb0832b0
131087721ca
1481ba4096
15503b50a0
hex33170de4

857148900 has 72 divisors (see below), whose sum is σ = 2610562080. Its totient is φ = 216541440.

The previous prime is 857148871. The next prime is 857148931. The reversal of 857148900 is 9841758.

857148900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69489 + ... + 80888.

Almost surely, 2857148900 is an apocalyptic number.

It is an amenable number.

857148900 is an abundant number, since it is smaller than the sum of its proper divisors (1753413180).

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

857148900 is a wasteful number, since it uses less digits than its factorization.

857148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150413 (or 150406 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 857148900 is about 29277.1053897068. The cubic root of 857148900 is about 949.9164838862.

The spelling of 857148900 in words is "eight hundred fifty-seven million, one hundred forty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 150377 300754 451131 601508 751885 902262 1503770 1804524 2255655 2857163 3007540 3759425 4511310 5714326 7518850 8571489 9022620 11278275 11428652 14285815 15037700 17142978 22556550 28571630 34285956 42857445 45113100 57143260 71429075 85714890 142858150 171429780 214287225 285716300 428574450 857148900