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47798016 = 283717523
BaseRepresentation
bin1011011001010…
…1011100000000
310022221101112220
42312111130000
544214014031
64424251040
71120163550
oct266253400
9108841486
1047798016
1124a873a2
1214010a80
139b97066
1464c3160
1542e2596
hex2d95700

47798016 has 144 divisors (see below), whose sum is σ = 154232064. Its totient is φ = 12828672.

The previous prime is 47797987. The next prime is 47798021. The reversal of 47798016 is 61089774.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91131 + ... + 91653.

It is an arithmetic number, because the mean of its divisors is an integer number (1071056).

Almost surely, 247798016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77116032).

47798016 is an abundant number, since it is smaller than the sum of its proper divisors (106434048).

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

47798016 is a wasteful number, since it uses less digits than its factorization.

47798016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 47798016 is about 6913.6109233887. The cubic root of 47798016 is about 362.9136389657.

The spelling of 47798016 in words is "forty-seven million, seven hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 523 544 672 714 768 816 896 952 1046 1088 1344 1428 1569 1632 1792 1904 2092 2176 2688 2856 3138 3264 3661 3808 4184 4352 5376 5712 6276 6528 7322 7616 8368 8891 10983 11424 12552 13056 14644 15232 16736 17782 21966 22848 25104 26673 29288 30464 33472 35564 43932 45696 50208 53346 58576 62237 66944 71128 87864 91392 100416 106692 117152 124474 133888 142256 175728 186711 200832 213384 234304 248948 284512 351456 373422 401664 426768 468608 497896 569024 702912 746844 853536 937216 995792 1138048 1405824 1493688 1707072 1991584 2276096 2811648 2987376 3414144 3983168 5974752 6828288 7966336 11949504 15932672 23899008 47798016