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81628470 = 232571111779
BaseRepresentation
bin1001101110110…
…00110100110110
312200121011012200
410313120310312
5131344102340
612033325330
72010554610
oct467306466
9180534180
1081628470
1142093750
1223406846
1313bb0691
14ababdb0
157276330
hex4dd8d36

81628470 has 96 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 16960320.

The previous prime is 81628457. The next prime is 81628513. The reversal of 81628470 is 7482618.

It is a super-2 number, since 2×816284702 = 13326414229081800, which contains 22 as substring.

It is a Curzon number.

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, 1041 + ... + 12819.

It is an arithmetic number, because the mean of its divisors is an integer number (2756520).

Almost surely, 281628470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81628470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

81628470 is an abundant number, since it is smaller than the sum of its proper divisors (182997450).

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

81628470 is a wasteful number, since it uses less digits than its factorization.

81628470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11810 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 81628470 is about 9034.8475360683. The cubic root of 81628470 is about 433.7910147885.

The spelling of 81628470 in words is "eighty-one million, six hundred twenty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 11779 23558 35337 58895 70674 82453 106011 117790 129569 164906 176685 212022 247359 259138 353370 388707 412265 494718 530055 647845 742077 777414 824530 906983 1060110 1166121 1236795 1295690 1484154 1813966 1943535 2332242 2473590 2720949 3710385 3887070 4534915 5441898 5830605 7420770 8162847 9069830 11661210 13604745 16325694 27209490 40814235 81628470