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39742780 = 225711131197
BaseRepresentation
bin1001011110011…
…0110100111100
32202210010211211
42113212310330
540133232110
63535454204
7661544110
oct227466474
982703754
1039742780
1120485380
1211387364
13830674c
1453c7740
15375098a
hex25e6d3c

39742780 has 96 divisors (see below), whose sum is σ = 105380352. Its totient is φ = 12230400.

The previous prime is 39742763. The next prime is 39742783. The reversal of 39742780 is 8724793.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39742783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201642 + ... + 201838.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 239742780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39742780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176).

39742780 is an abundant number, since it is smaller than the sum of its proper divisors (65637572).

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

39742780 is a wasteful number, since it uses less digits than its factorization.

39742780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 39742780 is about 6304.1874972117. The cubic root of 39742780 is about 341.2605456808.

The spelling of 39742780 in words is "thirty-nine million, seven hundred forty-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 131 140 154 197 220 262 308 385 394 524 655 770 788 917 985 1310 1379 1441 1540 1834 1970 2167 2620 2758 2882 3668 3940 4334 4585 5516 5764 6895 7205 8668 9170 10087 10835 13790 14410 15169 18340 20174 21670 25807 27580 28820 30338 40348 43340 50435 51614 60676 75845 100870 103228 129035 151690 180649 201740 258070 283877 303380 361298 516140 567754 722596 903245 1135508 1419385 1806490 1987139 2838770 3612980 3974278 5677540 7948556 9935695 19871390 39742780