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39020072 = 23721321931
BaseRepresentation
bin1001010011011…
…0011000101000
32201102102110212
42110312120220
534442120242
63512200252
7652444100
oct224663050
981372425
1039020072
11200313a3
1211099088
138112800
14527a200
15365b782
hex2536628

39020072 has 144 divisors (see below), whose sum is σ = 100137600. Its totient is φ = 14152320.

The previous prime is 39020071. The next prime is 39020077. The reversal of 39020072 is 27002093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39020071) 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 35 ways as a sum of consecutive naturals, for example, 1258697 + ... + 1258727.

It is an arithmetic number, because the mean of its divisors is an integer number (695400).

Almost surely, 239020072 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 39020072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50068800).

39020072 is an abundant number, since it is smaller than the sum of its proper divisors (61117528).

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

39020072 is a wasteful number, since it uses less digits than its factorization.

39020072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 39020072 is about 6246.6048378299. The cubic root of 39020072 is about 339.1793124398.

The spelling of 39020072 in words is "thirty-nine million, twenty thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 31 38 49 52 56 62 76 91 98 104 124 133 152 169 182 196 217 247 248 266 338 364 392 403 434 494 532 589 637 676 728 806 868 931 988 1064 1178 1183 1274 1352 1519 1612 1729 1736 1862 1976 2356 2366 2548 2821 3038 3211 3224 3458 3724 4123 4712 4732 5096 5239 5642 6076 6422 6916 7448 7657 8246 8281 9464 10478 11284 12103 12152 12844 13832 15314 16492 16562 19747 20956 22477 22568 24206 25688 28861 30628 32984 33124 36673 39494 41912 44954 48412 53599 57722 61256 66248 73346 78988 89908 96824 99541 107198 115444 146692 157339 157976 179816 199082 214396 230888 256711 293384 314678 375193 398164 428792 513422 629356 696787 750386 796328 1026844 1258712 1393574 1500772 2053688 2787148 3001544 4877509 5574296 9755018 19510036 39020072