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480000378 = 2311134711903
BaseRepresentation
bin11100100111000…
…011100101111010
31020110012112201210
4130213003211322
51440340003003
6115344023550
714615636004
oct3447034572
91213175653
10480000378
11226a47430
12114901bb6
13785a1bc0
1447a6b374
152c217503
hex1c9c397a

480000378 has 64 divisors (see below), whose sum is σ = 1151926272. Its totient is φ = 131398080.

The previous prime is 480000361. The next prime is 480000413. The reversal of 480000378 is 873000084.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34375 + ... + 46277.

It is an arithmetic number, because the mean of its divisors is an integer number (17998848).

Almost surely, 2480000378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480000378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575963136).

480000378 is an abundant number, since it is smaller than the sum of its proper divisors (671925894).

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

480000378 is a wasteful number, since it uses less digits than its factorization.

480000378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11979.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 480000378 is about 21908.9109268352. The cubic root of 480000378 is about 782.9737337643.

The spelling of 480000378 in words is "four hundred eighty million, three hundred seventy-eight", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 22 26 33 39 47 66 78 94 141 143 282 286 429 517 611 858 1034 1222 1551 1833 3102 3666 6721 11903 13442 20163 23806 35709 40326 71418 130933 154739 261866 309478 392799 464217 559441 785598 928434 1118882 1678323 1702129 3356646 3404258 5106387 6153851 7272733 10212774 12307702 14545466 18461553 21818199 36923106 43636398 80000063 160000126 240000189 480000378