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209475072 = 29345051
BaseRepresentation
bin11000111110001…
…01011000000000
3112121011102210000
430133011120000
5412111200242
632441440000
75122336332
oct1437053000
9477142700
10209475072
11a82747a4
125a1a0000
1334523c61
141db6b452
15135cba4c
hexc7c5600

209475072 has 100 divisors (see below), whose sum is σ = 625351716. Its totient is φ = 69811200.

The previous prime is 209475061. The next prime is 209475121. The reversal of 209475072 is 270574902.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38947 + ... + 43997.

Almost surely, 2209475072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312675858).

209475072 is an abundant number, since it is smaller than the sum of its proper divisors (415876644).

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

209475072 is an frugal number, since it uses more digits than its factorization.

209475072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 209475072 is about 14473.2536770417. The cubic root of 209475072 is about 593.8965231443.

The spelling of 209475072 in words is "two hundred nine million, four hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5051 5184 6912 10102 10368 13824 15153 20204 20736 30306 40408 41472 45459 60612 80816 90918 121224 136377 161632 181836 242448 272754 323264 363672 409131 484896 545508 646528 727344 818262 969792 1091016 1293056 1454688 1636524 1939584 2182032 2586112 2909376 3273048 3879168 4364064 5818752 6546096 7758336 8728128 11637504 13092192 17456256 23275008 26184384 34912512 52368768 69825024 104737536 209475072