Search a number
-
+
4057152 = 2631117113
BaseRepresentation
bin1111011110100001000000
321122010100220
433132201000
52014312102
6222543040
746325301
oct17364100
97563326
104057152
112321220
121437a80
13ac08a8
147787a8
155521bc
hex3de840

4057152 has 112 divisors (see below), whose sum is σ = 12508992. Its totient is φ = 1146880.

The previous prime is 4057147. The next prime is 4057159. The reversal of 4057152 is 2517504.

It is a super-2 number, since 2×40571522 = 32920964702208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4057159) 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, 35848 + ... + 35960.

Almost surely, 24057152 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 4057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254496).

4057152 is an abundant number, since it is smaller than the sum of its proper divisors (8451840).

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

4057152 is a wasteful number, since it uses less digits than its factorization.

4057152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 4057152 is about 2014.2373246467. The cubic root of 4057152 is about 159.4925590158.

It can be divided in two parts, 405 and 7152, that added together give a palindrome (7557).

The spelling of 4057152 in words is "four million, fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 113 132 136 176 187 192 204 226 264 272 339 352 374 408 452 528 544 561 678 704 748 816 904 1056 1088 1122 1243 1356 1496 1632 1808 1921 2112 2244 2486 2712 2992 3264 3616 3729 3842 4488 4972 5424 5763 5984 7232 7458 7684 8976 9944 10848 11526 11968 14916 15368 17952 19888 21131 21696 23052 29832 30736 35904 39776 42262 46104 59664 61472 63393 79552 84524 92208 119328 122944 126786 169048 184416 238656 253572 338096 368832 507144 676192 1014288 1352384 2028576 4057152