Search a number
-
+
47023152 = 24311293783
BaseRepresentation
bin1011001101100…
…0010000110000
310021111000122020
42303120100300
544014220102
64355511440
71110455511
oct263302060
9107430566
1047023152
11245a8210
12138b8580
139985467
146360a08
1541dcbbc
hex2cd8430

47023152 has 160 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 13224960.

The previous prime is 47023133. The next prime is 47023153. The reversal of 47023152 is 25132074.

It is a super-2 number, since 2×470231522 = 4422353648030208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47023153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566503 + ... + 566585.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 247023152 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 47023152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

47023152 is an abundant number, since it is smaller than the sum of its proper divisors (95467728).

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

47023152 is a wasteful number, since it uses less digits than its factorization.

47023152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 47023152 is about 6857.3429256528. The cubic root of 47023152 is about 360.9418546991.

The spelling of 47023152 in words is "forty-seven million, twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 37 44 48 58 66 74 83 87 88 111 116 132 148 166 174 176 222 232 249 264 296 319 332 348 407 444 464 498 528 592 638 664 696 814 888 913 957 996 1073 1221 1276 1328 1392 1628 1776 1826 1914 1992 2146 2407 2442 2552 2739 3071 3219 3256 3652 3828 3984 4292 4814 4884 5104 5478 6142 6438 6512 7221 7304 7656 8584 9213 9628 9768 10956 11803 12284 12876 14442 14608 15312 17168 18426 19256 19536 21912 23606 24568 25752 26477 28884 33781 35409 36852 38512 43824 47212 49136 51504 52954 57768 67562 70818 73704 79431 89059 94424 101343 105908 115536 135124 141636 147408 158862 178118 188848 202686 211816 267177 270248 283272 317724 356236 405372 423632 534354 540496 566544 635448 712472 810744 979649 1068708 1270896 1424944 1621488 1959298 2137416 2938947 3918596 4274832 5877894 7837192 11755788 15674384 23511576 47023152