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30496950 = 232521161101
BaseRepresentation
bin111010001010…
…1100010110110
32010101101221200
41310111202312
530301400300
63005353330
7520135251
oct164254266
963341850
1030496950
111623a8a0
12a268846
13641a243
14409c098
152a26200
hex1d158b6

30496950 has 144 divisors (see below), whose sum is σ = 91748592. Its totient is φ = 7200000.

The previous prime is 30496927. The next prime is 30496987. The reversal of 30496950 is 5969403.

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 301900 + ... + 302000.

It is an arithmetic number, because the mean of its divisors is an integer number (637143).

Almost surely, 230496950 is an apocalyptic number.

30496950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30496950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45874296).

30496950 is an abundant number, since it is smaller than the sum of its proper divisors (61251642).

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

30496950 is a wasteful number, since it uses less digits than its factorization.

30496950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 30496950 is about 5522.4043676645. The cubic root of 30496950 is about 312.4295734629.

It can be divided in two parts, 3049 and 6950, that added together give a palindrome (9999).

The spelling of 30496950 in words is "thirty million, four hundred ninety-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 61 66 75 90 99 101 110 122 150 165 183 198 202 225 275 303 305 330 366 450 495 505 549 550 606 610 671 825 909 915 990 1010 1098 1111 1342 1515 1525 1650 1818 1830 2013 2222 2475 2525 2745 3030 3050 3333 3355 4026 4545 4575 4950 5050 5490 5555 6039 6161 6666 6710 7575 9090 9150 9999 10065 11110 12078 12322 13725 15150 16665 16775 18483 19998 20130 22725 27450 27775 30195 30805 33330 33550 36966 45450 49995 50325 55449 55550 60390 61610 67771 83325 92415 99990 100650 110898 135542 150975 154025 166650 184830 203313 249975 277245 301950 308050 338855 406626 462075 499950 554490 609939 677710 924150 1016565 1219878 1386225 1694275 2033130 2772450 3049695 3388550 5082825 6099390 10165650 15248475 30496950