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897576480 = 253253120107
BaseRepresentation
bin110101011111111…
…110111000100000
32022112221121110100
4311133332320200
53314234421410
6225022102400
731146163023
oct6537767040
92275847410
10897576480
11420727549
1221071aa00
13113c58558
14872c91ba
1553bed8c0
hex357fee20

897576480 has 144 divisors (see below), whose sum is σ = 3161942784. Its totient is φ = 231621120.

The previous prime is 897576457. The next prime is 897576503. The reversal of 897576480 is 84675798.

897576480 is a `hidden beast` number, since 8 + 97 + 5 + 76 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (897576457) and next prime (897576503).

It is a tau number, because it is divible by the number of its divisors (144).

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, 34587 + ... + 54693.

It is an arithmetic number, because the mean of its divisors is an integer number (21957936).

Almost surely, 2897576480 is an apocalyptic number.

897576480 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 897576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580971392).

897576480 is an abundant number, since it is smaller than the sum of its proper divisors (2264366304).

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

897576480 is a wasteful number, since it uses less digits than its factorization.

897576480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20159 (or 20148 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 897576480 is about 29959.5807714327. The cubic root of 897576480 is about 964.6219822872.

The spelling of 897576480 in words is "eight hundred ninety-seven million, five hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 20107 22320 40214 44640 60321 80428 100535 120642 160856 180963 201070 241284 301605 321712 361926 402140 482568 603210 623317 643424 723852 804280 904815 965136 1206420 1246634 1447704 1608560 1809630 1869951 1930272 2412840 2493268 2895408 3116585 3217120 3619260 3739902 4825680 4986536 5609853 5790816 6233170 7238520 7479804 9349755 9651360 9973072 11219706 12466340 14477040 14959608 18699510 19946144 22439412 24932680 28049265 28954080 29919216 37399020 44878824 49865360 56098530 59838432 74798040 89757648 99730720 112197060 149596080 179515296 224394120 299192160 448788240 897576480