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71437950 = 2345231569
BaseRepresentation
bin1000100001000…
…00111001111110
311222102102110000
410100200321332
5121242003300
611031055130
71525132623
oct420407176
9158372400
1071437950
1137363431
121bb114a6
1311a5319c
1496b834a
156411c00
hex4420e7e

71437950 has 120 divisors (see below), whose sum is σ = 205254720. Its totient is φ = 18403200.

The previous prime is 71437939. The next prime is 71437969. The reversal of 71437950 is 5973417.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125266 + ... + 125834.

It is an arithmetic number, because the mean of its divisors is an integer number (1710456).

Almost surely, 271437950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71437950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102627360).

71437950 is an abundant number, since it is smaller than the sum of its proper divisors (133816770).

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

71437950 is a wasteful number, since it uses less digits than its factorization.

71437950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 71437950 is about 8452.0973728418. The cubic root of 71437950 is about 414.9314252590.

The spelling of 71437950 in words is "seventy-one million, four hundred thirty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 81 90 93 135 150 155 162 186 225 270 279 310 405 450 465 558 569 675 775 810 837 930 1138 1350 1395 1550 1674 1707 2025 2325 2511 2790 2845 3414 4050 4185 4650 5022 5121 5690 6975 8370 8535 10242 12555 13950 14225 15363 17070 17639 20925 25110 25605 28450 30726 35278 41850 42675 46089 51210 52917 62775 76815 85350 88195 92178 105834 125550 128025 153630 158751 176390 230445 256050 264585 317502 384075 440975 460890 476253 529170 768150 793755 881950 952506 1152225 1322925 1428759 1587510 2304450 2381265 2645850 2857518 3968775 4762530 7143795 7937550 11906325 14287590 23812650 35718975 71437950