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47380480 = 21157661
BaseRepresentation
bin1011010010111…
…1100000000000
310022011011210121
42310233200000
544112133410
64411310024
71113504340
oct264574000
9108134717
1047380480
1124821724
1213a4b314
139a7bcb4
146414d20
15425d9da
hex2d2f800

47380480 has 96 divisors (see below), whose sum is σ = 130122720. Its totient is φ = 16220160.

The previous prime is 47380441. The next prime is 47380499. The reversal of 47380480 is 8408374.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71350 + ... + 72010.

It is an arithmetic number, because the mean of its divisors is an integer number (1355445).

Almost surely, 247380480 is an apocalyptic number.

47380480 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 47380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65061360).

47380480 is an abundant number, since it is smaller than the sum of its proper divisors (82742240).

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

47380480 is an equidigital number, since it uses as much as digits as its factorization.

47380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 47380480 is about 6883.3480225832. The cubic root of 47380480 is about 361.8538119366.

The spelling of 47380480 in words is "forty-seven million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 661 896 1024 1120 1280 1322 1792 2048 2240 2560 2644 3305 3584 4480 4627 5120 5288 6610 7168 8960 9254 10240 10576 13220 14336 17920 18508 21152 23135 26440 35840 37016 42304 46270 52880 71680 74032 84608 92540 105760 148064 169216 185080 211520 296128 338432 370160 423040 592256 676864 740320 846080 1184512 1353728 1480640 1692160 2369024 2961280 3384320 4738048 5922560 6768640 9476096 11845120 23690240 47380480