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71944470 = 233513103199
BaseRepresentation
bin1000100100111…
…00100100010110
312000101011021000
410102130210112
5121404210340
611050004130
71532342433
oct422344426
9160334230
1071944470
1137679a44
1220116646
1311b9c8c0
1497aab8a
1564b1d30
hex449c916

71944470 has 128 divisors (see below), whose sum is σ = 209664000. Its totient is φ = 17449344.

The previous prime is 71944441. The next prime is 71944471. The reversal of 71944470 is 7444917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71944471) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 361431 + ... + 361629.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 271944470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71944470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832000).

71944470 is an abundant number, since it is smaller than the sum of its proper divisors (137719530).

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

71944470 is a wasteful number, since it uses less digits than its factorization.

71944470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 71944470 is about 8482.0086064564. The cubic root of 71944470 is about 415.9097861267.

It can be divided in two parts, 7194 and 4470, that added together give a square (11664 = 1082).

The spelling of 71944470 in words is "seventy-one million, nine hundred forty-four thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 103 117 130 135 195 199 206 234 270 309 351 390 398 515 585 597 618 702 927 995 1030 1170 1194 1339 1545 1755 1791 1854 1990 2587 2678 2781 2985 3090 3510 3582 4017 4635 5174 5373 5562 5970 6695 7761 8034 8955 9270 10746 12051 12935 13390 13905 15522 17910 20085 20497 23283 24102 25870 26865 27810 36153 38805 40170 40994 46566 53730 60255 61491 69849 72306 77610 102485 116415 120510 122982 139698 180765 184473 204970 232830 266461 307455 349245 361530 368946 532922 553419 614910 698490 799383 922365 1106838 1332305 1598766 1844730 2398149 2664610 2767095 3996915 4796298 5534190 7194447 7993830 11990745 14388894 23981490 35972235 71944470