Search a number
-
+
42361152 = 263376789
BaseRepresentation
bin1010000110011…
…0000101000000
32221201011120120
42201212011000
541321024102
64111540240
71023030621
oct241460500
987634516
1042361152
1121a03619
121222a680
138a12492
1458a9a48
153abb6bc
hex2866140

42361152 has 112 divisors (see below), whose sum is σ = 118140480. Its totient is φ = 13381632.

The previous prime is 42361139. The next prime is 42361153. The reversal of 42361152 is 25116324.

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 (42361153) 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, 475924 + ... + 476012.

Almost surely, 242361152 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 42361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59070240).

42361152 is an abundant number, since it is smaller than the sum of its proper divisors (75779328).

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

42361152 is a wasteful number, since it uses less digits than its factorization.

42361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 42361152 is about 6508.5445377596. The cubic root of 42361152 is about 348.5961508425.

Adding to 42361152 its reverse (25116324), we get a palindrome (67477476).

The spelling of 42361152 in words is "forty-two million, three hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 67 74 89 96 111 134 148 178 192 201 222 267 268 296 356 402 444 534 536 592 712 804 888 1068 1072 1184 1424 1608 1776 2136 2144 2368 2479 2848 3216 3293 3552 4272 4288 4958 5696 5963 6432 6586 7104 7437 8544 9879 9916 11926 12864 13172 14874 17088 17889 19758 19832 23852 26344 29748 35778 39516 39664 47704 52688 59496 71556 79032 79328 95408 105376 118992 143112 158064 158656 190816 210752 220631 237984 286224 316128 381632 441262 475968 572448 632256 661893 882524 1144896 1323786 1765048 2647572 3530096 5295144 7060192 10590288 14120384 21180576 42361152