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30254952 = 23372131979
BaseRepresentation
bin111001101101…
…0011101101000
32002221002222210
41303122131220
530221124302
63000245120
7515106600
oct163323550
962832883
1030254952
1116094aa2
12a1707a0
136364050
144037c00
1529c966c
hex1cda768

30254952 has 96 divisors (see below), whose sum is σ = 94802400. Its totient is φ = 7975296.

The previous prime is 30254933. The next prime is 30254953. The reversal of 30254952 is 25945203.

It is not an unprimeable number, because it can be changed into a prime (30254953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14299 + ... + 16277.

It is an arithmetic number, because the mean of its divisors is an integer number (987525).

Almost surely, 230254952 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 30254952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47401200).

30254952 is an abundant number, since it is smaller than the sum of its proper divisors (64547448).

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

30254952 is a wasteful number, since it uses less digits than its factorization.

30254952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 30254952 is about 5500.4501633957. The cubic root of 30254952 is about 311.6009856477.

The spelling of 30254952 in words is "thirty million, two hundred fifty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 1979 2184 2548 3822 3958 5096 5937 7644 7916 11874 13853 15288 15832 23748 25727 27706 41559 47496 51454 55412 77181 83118 96971 102908 110824 154362 166236 180089 193942 205816 290913 308724 332472 360178 387884 540267 581826 617448 720356 775768 1080534 1163652 1260623 1440712 2161068 2327304 2521246 3781869 4322136 5042492 7563738 10084984 15127476 30254952