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876838480 = 245712712329
BaseRepresentation
bin110100010000110…
…111111001010000
32021002221000021021
4310100313321100
53243432312410
6223001405224
730505001260
oct6420677120
92232830237
10876838480
1140aa52801
12205799814
1310c87724b
148464b7a0
1551ea3eda
hex34437e50

876838480 has 80 divisors (see below), whose sum is σ = 2348421120. Its totient is φ = 298238976.

The previous prime is 876838433. The next prime is 876838493. The reversal of 876838480 is 84838678.

It is a tau number, because it is divible by the number of its divisors (80).

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, 64956 + ... + 77284.

It is an arithmetic number, because the mean of its divisors is an integer number (29355264).

Almost surely, 2876838480 is an apocalyptic number.

876838480 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 876838480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174210560).

876838480 is an abundant number, since it is smaller than the sum of its proper divisors (1471582640).

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

876838480 is a wasteful number, since it uses less digits than its factorization.

876838480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12476 (or 12470 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The square root of 876838480 is about 29611.4585929164. The cubic root of 876838480 is about 957.1350057594.

The spelling of 876838480 in words is "eight hundred seventy-six million, eight hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 127 140 254 280 508 560 635 889 1016 1270 1778 2032 2540 3556 4445 5080 7112 8890 10160 12329 14224 17780 24658 35560 49316 61645 71120 86303 98632 123290 172606 197264 246580 345212 431515 493160 690424 863030 986320 1380848 1565783 1726060 3131566 3452120 6263132 6904240 7828915 10960481 12526264 15657830 21920962 25052528 31315660 43841924 54802405 62631320 87683848 109604810 125262640 175367696 219209620 438419240 876838480