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472339240 = 23519292739
BaseRepresentation
bin11100001001110…
…101001100101000
31012220210022121221
4130021311030220
51431404323430
6114511511424
714463550222
oct3411651450
91186708557
10472339240
1122269450a
12112228574
1376b1ba99
1446a35412
152b70257a
hex1c275328

472339240 has 96 divisors (see below), whose sum is σ = 1160172000. Its totient is φ = 172585728.

The previous prime is 472339187. The next prime is 472339249. The reversal of 472339240 is 42933274.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 472339196 and 472339205.

It is not an unprimeable number, because it can be changed into a prime (472339249) by changing a digit.

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, 638791 + ... + 639529.

It is an arithmetic number, because the mean of its divisors is an integer number (12085125).

Almost surely, 2472339240 is an apocalyptic number.

472339240 is a gapful number since it is divisible by the number (40) 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 472339240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580086000).

472339240 is an abundant number, since it is smaller than the sum of its proper divisors (687832760).

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

472339240 is a wasteful number, since it uses less digits than its factorization.

472339240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 472339240 is about 21733.3669733891. The cubic root of 472339240 is about 778.7857724164.

The spelling of 472339240 in words is "four hundred seventy-two million, three hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 739 760 841 1102 1160 1478 1682 2204 2755 2956 3364 3695 4205 4408 5510 5912 6728 7390 8410 11020 14041 14780 15979 16820 21431 22040 28082 29560 31958 33640 42862 56164 63916 70205 79895 85724 107155 112328 127832 140410 159790 171448 214310 280820 319580 407189 428620 561640 621499 639160 814378 857240 1242998 1628756 2035945 2485996 3107495 3257512 4071890 4971992 6214990 8143780 11808481 12429980 16287560 23616962 24859960 47233924 59042405 94467848 118084810 236169620 472339240