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29125000 = 2356233
BaseRepresentation
bin110111100011…
…0100110001000
32000210200222201
41233012212020
524424000000
62520125544
7502362352
oct157064610
960720881
1029125000
1115493053
1299068b4
136059938
143c220d2
15285496a
hex1bc6988

29125000 has 56 divisors (see below), whose sum is σ = 68553810. Its totient is φ = 11600000.

The previous prime is 29124947. The next prime is 29125049. The reversal of 29125000 is 52192.

It can be written as a sum of positive squares in 7 ways, for example, as 20016676 + 9108324 = 4474^2 + 3018^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124884 + ... + 125116.

Almost surely, 229125000 is an apocalyptic number.

29125000 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 29125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34276905).

29125000 is an abundant number, since it is smaller than the sum of its proper divisors (39428810).

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

29125000 is an frugal number, since it uses more digits than its factorization.

29125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 29125000 is about 5396.7582862307. The cubic root of 29125000 is about 307.6724746832.

Adding to 29125000 its reverse (52192), we get a palindrome (29177192).

The spelling of 29125000 in words is "twenty-nine million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 625 932 1000 1165 1250 1864 2330 2500 3125 4660 5000 5825 6250 9320 11650 12500 15625 23300 25000 29125 31250 46600 58250 62500 116500 125000 145625 233000 291250 582500 728125 1165000 1456250 2912500 3640625 5825000 7281250 14562500 29125000