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39992220 = 22325415419
BaseRepresentation
bin1001100010001…
…1101110011100
32210020211000100
42120203232130
540214222340
63545101100
7663633252
oct230435634
983224010
1039992220
1120635824
1211487790
138393148
1454505d2
15379e830
hex2623b9c

39992220 has 72 divisors (see below), whose sum is σ = 124291440. Its totient is φ = 10402560.

The previous prime is 39992129. The next prime is 39992221. The reversal of 39992220 is 2229993.

39992220 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (39992221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4671 + ... + 10089.

It is an arithmetic number, because the mean of its divisors is an integer number (1726270).

Almost surely, 239992220 is an apocalyptic number.

39992220 is a gapful number since it is divisible by the number (30) 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 39992220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62145720).

39992220 is an abundant number, since it is smaller than the sum of its proper divisors (84299220).

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

39992220 is a wasteful number, since it uses less digits than its factorization.

39992220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 39992220 is about 6323.9402274215. The cubic root of 39992220 is about 341.9730152095.

The spelling of 39992220 in words is "thirty-nine million, nine hundred ninety-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 5419 7380 10838 16257 21676 27095 32514 48771 54190 65028 81285 97542 108380 162570 195084 222179 243855 325140 444358 487710 666537 888716 975420 1110895 1333074 1999611 2221790 2666148 3332685 3999222 4443580 6665370 7998444 9998055 13330740 19996110 39992220