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472120950 = 23527597621
BaseRepresentation
bin11100001000111…
…111111001110110
31012220101020012010
4130020333321312
51431330332300
6114503105050
714461650630
oct3410777166
91186336163
10472120950
11222555504
12112142186
1376a73612
14469b9a50
152b6aca50
hex1c23fe76

472120950 has 96 divisors (see below), whose sum is σ = 1360984320. Its totient is φ = 106070400.

The previous prime is 472120937. The next prime is 472120963. The reversal of 472120950 is 59021274.

It is an interprime number because it is at equal distance from previous prime (472120937) and next prime (472120963).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58140 + ... + 65760.

It is an arithmetic number, because the mean of its divisors is an integer number (14176920).

Almost surely, 2472120950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472120950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680492160).

472120950 is an abundant number, since it is smaller than the sum of its proper divisors (888863370).

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

472120950 is a wasteful number, since it uses less digits than its factorization.

472120950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 472120950 is about 21728.3443916006. The cubic root of 472120950 is about 778.6657828502.

The spelling of 472120950 in words is "four hundred seventy-two million, one hundred twenty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 59 70 75 105 118 150 175 177 210 295 350 354 413 525 590 826 885 1050 1239 1475 1770 2065 2478 2950 4130 4425 6195 7621 8850 10325 12390 15242 20650 22863 30975 38105 45726 53347 61950 76210 106694 114315 160041 190525 228630 266735 320082 381050 449639 533470 571575 800205 899278 1143150 1333675 1348917 1600410 2248195 2667350 2697834 3147473 4001025 4496390 6294946 6744585 8002050 9442419 11240975 13489170 15737365 18884838 22481950 31474730 33722925 47212095 67445850 78686825 94424190 157373650 236060475 472120950