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47830640 = 245111337113
BaseRepresentation
bin1011011001110…
…1011001110000
310100000001022012
42312131121300
544221040030
64425102052
71120360634
oct266353160
9110001265
1047830640
1124aa9960
1214027928
139ba8b70
1464d0dc4
1542ec095
hex2d9d670

47830640 has 160 divisors (see below), whose sum is σ = 135366336. Its totient is φ = 15482880.

The previous prime is 47830633. The next prime is 47830661. The reversal of 47830640 is 4603874.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 47830597 and 47830606.

It is a congruent number.

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, 423224 + ... + 423336.

Almost surely, 247830640 is an apocalyptic number.

47830640 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 47830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67683168).

47830640 is an abundant number, since it is smaller than the sum of its proper divisors (87535696).

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

47830640 is a wasteful number, since it uses less digits than its factorization.

47830640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 47830640 is about 6915.9699247466. The cubic root of 47830640 is about 362.9961877330.

The spelling of 47830640 in words is "forty-seven million, eight hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 37 40 44 52 55 65 74 80 88 104 110 113 130 143 148 176 185 208 220 226 260 286 296 370 407 440 452 481 520 565 572 592 715 740 814 880 904 962 1040 1130 1144 1243 1430 1469 1480 1628 1808 1924 2035 2260 2288 2405 2486 2860 2938 2960 3256 3848 4070 4181 4520 4810 4972 5291 5720 5876 6215 6512 7345 7696 8140 8362 9040 9620 9944 10582 11440 11752 12430 14690 16159 16280 16724 19240 19888 20905 21164 23504 24860 26455 29380 32318 32560 33448 38480 41810 42328 45991 49720 52910 54353 58760 64636 66896 80795 83620 84656 91982 99440 105820 108706 117520 129272 161590 167240 183964 211640 217412 229955 258544 271765 323180 334480 367928 423280 434824 459910 543530 597883 646360 735856 869648 919820 1087060 1195766 1292720 1839640 2174120 2391532 2989415 3679280 4348240 4783064 5978830 9566128 11957660 23915320 47830640