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47969152 = 2771131157
BaseRepresentation
bin1011011011111…
…1001110000000
310100021002022021
42312333032000
544240003102
64432051224
71121505520
oct266771600
9110232267
1047969152
1125093a30
1214093b14
139c26c1a
146529680
154328137
hex2dbf380

47969152 has 128 divisors (see below), whose sum is σ = 123770880. Its totient is φ = 17971200.

The previous prime is 47969147. The next prime is 47969177. The reversal of 47969152 is 25196974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 47969099 and 47969108.

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, 305458 + ... + 305614.

It is an arithmetic number, because the mean of its divisors is an integer number (966960).

Almost surely, 247969152 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 47969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61885440).

47969152 is an abundant number, since it is smaller than the sum of its proper divisors (75801728).

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

47969152 is a wasteful number, since it uses less digits than its factorization.

47969152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 47969152 is about 6925.9766098363. The cubic root of 47969152 is about 363.3462483602.

The spelling of 47969152 in words is "forty-seven million, nine hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 128 154 157 176 217 224 248 308 314 341 352 434 448 496 616 628 682 704 868 896 992 1099 1232 1256 1364 1408 1727 1736 1984 2198 2387 2464 2512 2728 3454 3472 3968 4396 4774 4867 4928 5024 5456 6908 6944 8792 9548 9734 9856 10048 10912 12089 13816 13888 17584 19096 19468 20096 21824 24178 27632 27776 34069 35168 38192 38936 43648 48356 53537 55264 68138 70336 76384 77872 96712 107074 110528 136276 140672 152768 155744 193424 214148 221056 272552 305536 311488 374759 386848 428296 545104 622976 749518 773696 856592 1090208 1499036 1547392 1713184 2180416 2998072 3426368 4360832 5996144 6852736 11992288 23984576 47969152