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30950829 = 3471321719
BaseRepresentation
bin111011000010…
…0010110101101
32011020110120000
41312010112231
530410411304
63023214513
7524035440
oct166042655
964213500
1030950829
111651a8a8
12a447439
136548a00
144179657
152ab5939
hex1d845ad

30950829 has 120 divisors (see below), whose sum is σ = 63771840. Its totient is φ = 14556672.

The previous prime is 30950809. The next prime is 30950837. The reversal of 30950829 is 92805903.

It is not a de Polignac number, because 30950829 - 25 = 30950797 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30950793 and 30950802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30950809) 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 119 ways as a sum of consecutive naturals, for example, 1628982 + ... + 1629000.

It is an arithmetic number, because the mean of its divisors is an integer number (531432).

Almost surely, 230950829 is an apocalyptic number.

30950829 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

30950829 is an abundant number, since it is smaller than the sum of its proper divisors (32821011).

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

30950829 is a wasteful number, since it uses less digits than its factorization.

30950829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 30950829 is about 5563.3469242894. The cubic root of 30950829 is about 313.9718861329.

The spelling of 30950829 in words is "thirty million, nine hundred fifty thousand, eight hundred twenty-nine".

Divisors: 1 3 7 9 13 17 19 21 27 39 51 57 63 81 91 117 119 133 153 169 171 189 221 247 273 323 351 357 399 459 507 513 567 663 741 819 969 1053 1071 1183 1197 1377 1521 1539 1547 1729 1989 2223 2261 2457 2873 2907 3211 3213 3549 3591 4199 4563 4641 5187 5967 6669 6783 7371 8619 8721 9633 9639 10647 10773 12597 13689 13923 15561 17901 20007 20111 20349 22477 25857 26163 28899 29393 31941 37791 41769 46683 54587 60333 61047 67431 77571 86697 88179 95823 113373 125307 140049 163761 180999 183141 202293 232713 260091 264537 340119 382109 491283 542997 606879 793611 1146327 1473849 1628991 1820637 2380833 3438981 4421547 10316943 30950829