[go: up one dir, main page]

Search a number
-
+
29157024 = 2531361383
BaseRepresentation
bin110111100111…
…0011010100000
32000212022220210
41233032122200
524431011044
62520534120
7502554621
oct157163240
960768823
1029157024
1115505116
129921340
13606b3a0
143c2da48
15285e1b9
hex1bce6a0

29157024 has 96 divisors (see below), whose sum is σ = 83994624. Its totient is φ = 8801280.

The previous prime is 29157017. The next prime is 29157059. The reversal of 29157024 is 42075192.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×291570243 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29156982 and 29157000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75937 + ... + 76319.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 229157024 is an apocalyptic number.

29157024 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 29157024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41997312).

29157024 is an abundant number, since it is smaller than the sum of its proper divisors (54837600).

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

29157024 is a wasteful number, since it uses less digits than its factorization.

29157024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 29157024 is about 5399.7244374135. The cubic root of 29157024 is about 307.7851990817.

The spelling of 29157024 in words is "twenty-nine million, one hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 183 208 244 312 366 383 416 488 624 732 766 793 976 1149 1248 1464 1532 1586 1952 2298 2379 2928 3064 3172 4596 4758 4979 5856 6128 6344 9192 9516 9958 12256 12688 14937 18384 19032 19916 23363 25376 29874 36768 38064 39832 46726 59748 70089 76128 79664 93452 119496 140178 159328 186904 238992 280356 303719 373808 477984 560712 607438 747616 911157 1121424 1214876 1822314 2242848 2429752 3644628 4859504 7289256 9719008 14578512 29157024