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47401480 = 23573143127
BaseRepresentation
bin1011010011010…
…0101000001000
310022012020121101
42310310220020
544113321410
64411551144
71113622510
oct264645010
9108166541
1047401480
1124836485
1213a5b4b4
139a88719
14641c840
154264d3a
hex2d34a08

47401480 has 128 divisors (see below), whose sum is σ = 129761280. Its totient is φ = 15240960.

The previous prime is 47401463. The next prime is 47401483. The reversal of 47401480 is 8410474.

47401480 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (47401483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373177 + ... + 373303.

It is an arithmetic number, because the mean of its divisors is an integer number (1013760).

Almost surely, 247401480 is an apocalyptic number.

47401480 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 47401480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64880640).

47401480 is an abundant number, since it is smaller than the sum of its proper divisors (82359800).

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

47401480 is a wasteful number, since it uses less digits than its factorization.

47401480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 47401480 is about 6884.8732740698. The cubic root of 47401480 is about 361.9072643827.

The spelling of 47401480 in words is "forty-seven million, four hundred one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 43 56 62 70 86 124 127 140 155 172 215 217 248 254 280 301 310 344 430 434 508 602 620 635 860 868 889 1016 1085 1204 1240 1270 1333 1505 1720 1736 1778 2170 2408 2540 2666 3010 3556 3937 4340 4445 5080 5332 5461 6020 6665 7112 7874 8680 8890 9331 10664 10922 12040 13330 15748 17780 18662 19685 21844 26660 27305 27559 31496 35560 37324 38227 39370 43688 46655 53320 54610 55118 74648 76454 78740 93310 109220 110236 137795 152908 157480 169291 186620 191135 218440 220472 275590 305816 338582 373240 382270 551180 677164 764540 846455 1102360 1185037 1354328 1529080 1692910 2370074 3385820 4740148 5925185 6771640 9480296 11850370 23700740 47401480