Search a number
-
+
29244420 = 223251719503
BaseRepresentation
bin110111110001…
…1110000000100
32001000202210200
41233203300010
524441310140
62522450500
7503400462
oct157436004
961022720
1029244420
1115564847
129963a30
13609c0ba
143c53832
15287a030
hex1be3c04

29244420 has 144 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 6939648.

The previous prime is 29244419. The next prime is 29244427. The reversal of 29244420 is 2444292.

It is a super-2 number, since 2×292444202 = 1710472202272800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29244427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57889 + ... + 58391.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 229244420 is an apocalyptic number.

29244420 is a gapful number since it is divisible by the number (20) 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 29244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

29244420 is an abundant number, since it is smaller than the sum of its proper divisors (69821820).

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

29244420 is a wasteful number, since it uses less digits than its factorization.

29244420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 29244420 is about 5407.8110174081. The cubic root of 29244420 is about 308.0924133779.

The spelling of 29244420 in words is "twenty-nine million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 503 510 570 612 646 684 765 855 969 1006 1020 1140 1292 1509 1530 1615 1710 1938 2012 2515 2907 3018 3060 3230 3420 3876 4527 4845 5030 5814 6036 6460 7545 8551 9054 9557 9690 10060 11628 14535 15090 17102 18108 19114 19380 22635 25653 28671 29070 30180 34204 38228 42755 45270 47785 51306 57342 58140 76959 85510 86013 90540 95570 102612 114684 128265 143355 153918 162469 171020 172026 191140 256530 286710 307836 324938 344052 384795 430065 487407 513060 573420 649876 769590 812345 860130 974814 1462221 1539180 1624690 1720260 1949628 2437035 2924442 3249380 4874070 5848884 7311105 9748140 14622210 29244420