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857464080 = 243511229527
BaseRepresentation
bin110011000110111…
…101110100010000
32012202110200120220
4303012331310100
53224002322310
6221030233040
730151216164
oct6306756420
92182420526
10857464080
1140001a500
121bb1b5780
131088527c5
1481c46ca4
1550428670
hex331bdd10

857464080 has 120 divisors (see below), whose sum is σ = 2921854656. Its totient is φ = 207863040.

The previous prime is 857464079. The next prime is 857464103. The reversal of 857464080 is 80464758.

857464080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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, 14277 + ... + 43803.

Almost surely, 2857464080 is an apocalyptic number.

857464080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460927328).

857464080 is an abundant number, since it is smaller than the sum of its proper divisors (2064390576).

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

857464080 is a wasteful number, since it uses less digits than its factorization.

857464080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29565 (or 29548 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 857464080 is about 29282.4875992461. The cubic root of 857464080 is about 950.0329000610.

The spelling of 857464080 in words is "eight hundred fifty-seven million, four hundred sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 29527 59054 88581 118108 147635 177162 236216 295270 324797 354324 442905 472432 590540 649594 708648 885810 974391 1181080 1299188 1417296 1623985 1771620 1948782 2362160 2598376 3247970 3543240 3572767 3897564 4871955 5196752 6495940 7086480 7145534 7795128 9743910 10718301 12991880 14291068 15590256 17863835 19487820 21436602 25983760 28582136 35727670 38975640 42873204 53591505 57164272 71455340 77951280 85746408 107183010 142910680 171492816 214366020 285821360 428732040 857464080