[go: up one dir, main page]

Search a number
-
+
47870784 = 2633132131
BaseRepresentation
bin1011011010011…
…1001101000000
310100002002101000
42312213031000
544223331114
64430012000
71120615653
oct266471500
9110062330
1047870784
1125027035
1214047000
139bc1210
14650189a
154308e09
hex2da7340

47870784 has 112 divisors (see below), whose sum is σ = 151627840. Its totient is φ = 14722560.

The previous prime is 47870783. The next prime is 47870807. The reversal of 47870784 is 48707874.

It is a super-2 number, since 2×478707842 = 4583223921549312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47870783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21399 + ... + 23529.

It is an arithmetic number, because the mean of its divisors is an integer number (1353820).

Almost surely, 247870784 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 47870784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75813920).

47870784 is an abundant number, since it is smaller than the sum of its proper divisors (103757056).

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

47870784 is a wasteful number, since it uses less digits than its factorization.

47870784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 47870784 is about 6918.8715842975. The cubic root of 47870784 is about 363.0977129206.

The spelling of 47870784 in words is "forty-seven million, eight hundred seventy thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2131 2496 2808 3744 4262 5616 6393 7488 8524 11232 12786 17048 19179 22464 25572 27703 34096 38358 51144 55406 57537 68192 76716 83109 102288 110812 115074 136384 153432 166218 204576 221624 230148 249327 306864 332436 409152 443248 460296 498654 613728 664872 747981 886496 920592 997308 1227456 1329744 1495962 1772992 1841184 1994616 2659488 2991924 3682368 3989232 5318976 5983848 7978464 11967696 15956928 23935392 47870784