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30248946 = 23271359313
BaseRepresentation
bin111001101100…
…0111111110010
32002220210202100
41303120333302
530220431241
63000201230
7515053230
oct163307762
962823670
1030248946
1116090532
12a169216
1363613b0
144035950
1529c79b6
hex1cd8ff2

30248946 has 96 divisors (see below), whose sum is σ = 82293120. Its totient is φ = 7817472.

The previous prime is 30248941. The next prime is 30248951. The reversal of 30248946 is 64984203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30248941) and next prime (30248951).

It is a super-2 number, since 2×302489462 = 1829997468221832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30248946.

It is not an unprimeable number, because it can be changed into a prime (30248941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96486 + ... + 96798.

It is an arithmetic number, because the mean of its divisors is an integer number (857220).

Almost surely, 230248946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30248946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41146560).

30248946 is an abundant number, since it is smaller than the sum of its proper divisors (52044174).

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

30248946 is a wasteful number, since it uses less digits than its factorization.

30248946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30248946 is about 5499.9041809835. The cubic root of 30248946 is about 311.5803653388.

The spelling of 30248946 in words is "thirty million, two hundred forty-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 59 63 78 91 117 118 126 177 182 234 273 313 354 413 531 546 626 767 819 826 939 1062 1239 1534 1638 1878 2191 2301 2478 2817 3717 4069 4382 4602 5369 5634 6573 6903 7434 8138 10738 12207 13146 13806 16107 18467 19719 24414 28483 32214 36621 36934 39438 48321 55401 56966 73242 85449 96642 110802 129269 166203 170898 240071 256347 258538 332406 387807 480142 512694 720213 775614 1163421 1440426 1680497 2160639 2326842 3360994 4321278 5041491 10082982 15124473 30248946