Search a number
-
+
29451900 = 22352195167
BaseRepresentation
bin111000001011…
…0011001111100
32001102022102010
41300112121330
530014430100
62531131220
7505223412
oct160263174
961368363
1029451900
1115696715
129a43b10
13614267a
143ca92b2
1528bb750
hex1c1667c

29451900 has 72 divisors (see below), whose sum is σ = 89716480. Its totient is φ = 7439040.

The previous prime is 29451869. The next prime is 29451913. The reversal of 29451900 is 915492.

It is a happy number.

It is a super-2 number, since 2×294519002 = 1734828827220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 3117 + ... + 8283.

Almost surely, 229451900 is an apocalyptic number.

29451900 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 29451900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44858240).

29451900 is an abundant number, since it is smaller than the sum of its proper divisors (60264580).

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

29451900 is a wasteful number, since it uses less digits than its factorization.

29451900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5203 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 29451900 is about 5426.9604752568. The cubic root of 29451900 is about 308.8193034502.

The spelling of 29451900 in words is "twenty-nine million, four hundred fifty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5167 5700 10334 15501 20668 25835 31002 51670 62004 77505 98173 103340 129175 155010 196346 258350 294519 310020 387525 392692 490865 516700 589038 775050 981730 1178076 1472595 1550100 1963460 2454325 2945190 4908650 5890380 7362975 9817300 14725950 29451900