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47493888 = 283136771
BaseRepresentation
bin1011010100101…
…1001100000000
310022100221100220
42311023030000
544124301023
64413543040
71114456101
oct265131400
9108327326
1047493888
1124899952
1213aa4a80
139abb7c0
1464443a8
1542823e3
hex2d4b300

47493888 has 144 divisors (see below), whose sum is σ = 140103936. Its totient is φ = 14192640.

The previous prime is 47493877. The next prime is 47493917. The reversal of 47493888 is 88839474.

It is a self number, because there is not a number n which added to its sum of digits gives 47493888.

It is a congruent number.

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, 668893 + ... + 668963.

It is an arithmetic number, because the mean of its divisors is an integer number (972944).

Almost surely, 247493888 is an apocalyptic number.

47493888 is a gapful number since it is divisible by the number (48) 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 47493888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70051968).

47493888 is an abundant number, since it is smaller than the sum of its proper divisors (92610048).

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

47493888 is a wasteful number, since it uses less digits than its factorization.

47493888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 47493888 is about 6891.5809506963. The cubic root of 47493888 is about 362.1422881120.

The spelling of 47493888 in words is "forty-seven million, four hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 71 78 96 104 128 134 142 156 192 201 208 213 256 268 284 312 384 402 416 426 536 568 624 768 804 832 852 871 923 1072 1136 1248 1608 1664 1704 1742 1846 2144 2272 2496 2613 2769 3216 3328 3408 3484 3692 4288 4544 4757 4992 5226 5538 6432 6816 6968 7384 8576 9088 9514 9984 10452 11076 12864 13632 13936 14271 14768 17152 18176 19028 20904 22152 25728 27264 27872 28542 29536 38056 41808 44304 51456 54528 55744 57084 59072 61841 76112 83616 88608 111488 114168 118144 123682 152224 167232 177216 185523 222976 228336 236288 247364 304448 334464 354432 371046 456672 494728 608896 668928 708864 742092 913344 989456 1217792 1484184 1826688 1978912 2968368 3653376 3957824 5936736 7915648 11873472 15831296 23746944 47493888