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39702096 = 2433719691
BaseRepresentation
bin1001011101110…
…0111001010000
32202201002001000
42113130321100
540130431341
63534542000
7661314360
oct227347120
982632030
1039702096
1120457855
1211367900
1382c1085
1453b69a0
1537438b6
hex25dce50

39702096 has 160 divisors (see below), whose sum is σ = 137292800. Its totient is φ = 10730880.

The previous prime is 39702059. The next prime is 39702101. The reversal of 39702096 is 69020793.

39702096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 39702096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57111 + ... + 57801.

It is an arithmetic number, because the mean of its divisors is an integer number (858080).

Almost surely, 239702096 is an apocalyptic number.

39702096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39702096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68646400).

39702096 is an abundant number, since it is smaller than the sum of its proper divisors (97590704).

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

39702096 is a wasteful number, since it uses less digits than its factorization.

39702096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 39702096 is about 6300.9599268683. The cubic root of 39702096 is about 341.1440584070.

The spelling of 39702096 in words is "thirty-nine million, seven hundred two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 691 756 798 912 1008 1026 1064 1197 1368 1382 1512 1596 2052 2073 2128 2394 2736 2764 3024 3192 3591 4104 4146 4788 4837 5528 6219 6384 7182 8208 8292 9576 9674 11056 12438 13129 14364 14511 16584 18657 19152 19348 24876 26258 28728 29022 33168 37314 38696 39387 43533 49752 52516 57456 58044 74628 77392 78774 87066 91903 99504 105032 116088 118161 130599 149256 157548 174132 183806 210064 232176 236322 261198 275709 298512 315096 348264 354483 367612 472644 522396 551418 630192 696528 708966 735224 827127 945288 1044792 1102836 1417932 1470448 1654254 1890576 2089584 2205672 2481381 2835864 3308508 4411344 4962762 5671728 6617016 9925524 13234032 19851048 39702096