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400286480 = 245112319777
BaseRepresentation
bin10111110110111…
…110001100010000
31000220012122211012
4113312332030100
51304433131410
6103415310052
712630243656
oct2766761420
91026178735
10400286480
11195a51180
12b207b328
1364c11b09
143b23add6
152521d605
hex17dbe310

400286480 has 80 divisors (see below), whose sum is σ = 1059467904. Its totient is φ = 139223040.

The previous prime is 400286473. The next prime is 400286519. The reversal of 400286480 is 84682004.

Added to its reverse (84682004) it gives a square (484968484 = 220222).

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

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, 10352 + ... + 30128.

Almost surely, 2400286480 is an apocalyptic number.

400286480 is a gapful number since it is divisible by the number (40) 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 400286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529733952).

400286480 is an abundant number, since it is smaller than the sum of its proper divisors (659181424).

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

400286480 is a wasteful number, since it uses less digits than its factorization.

400286480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19824 (or 19818 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 400286480 is about 20007.1607181029. The cubic root of 400286480 is about 736.9821579755.

Adding to 400286480 its reverse (84682004), we get a square (484968484 = 220222).

The spelling of 400286480 in words is "four hundred million, two hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 19777 20240 39554 79108 98885 158216 197770 217547 316432 395540 435094 454871 791080 870188 909742 1087735 1582160 1740376 1819484 2175470 2274355 3480752 3638968 4350940 4548710 5003581 7277936 8701880 9097420 10007162 17403760 18194840 20014324 25017905 36389680 40028648 50035810 80057296 100071620 200143240 400286480