Search a number
-
+
29750544 = 2433174051
BaseRepresentation
bin111000101111…
…1010100010000
32001222111002000
41301133110100
530104004134
62541354000
7510606165
oct161372420
961874060
1029750544
111588002a
129b68900
136218595
143d4606c
152929e99
hex1c5f510

29750544 has 80 divisors (see below), whose sum is σ = 90440640. Its totient is φ = 9331200.

The previous prime is 29750537. The next prime is 29750563. The reversal of 29750544 is 44505792.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29750499 and 29750508.

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, 5319 + ... + 9369.

It is an arithmetic number, because the mean of its divisors is an integer number (1130508).

Almost surely, 229750544 is an apocalyptic number.

29750544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29750544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45220320).

29750544 is an abundant number, since it is smaller than the sum of its proper divisors (60690096).

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

29750544 is a wasteful number, since it uses less digits than its factorization.

29750544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 29750544 is about 5454.4059254881. The cubic root of 29750544 is about 309.8596103821.

The spelling of 29750544 in words is "twenty-nine million, seven hundred fifty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 4051 7344 8102 12153 16204 24306 32408 36459 48612 64816 68867 72918 97224 109377 137734 145836 194448 206601 218754 275468 291672 413202 437508 550936 583344 619803 826404 875016 1101872 1239606 1652808 1750032 1859409 2479212 3305616 3718818 4958424 7437636 9916848 14875272 29750544