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30049032 = 233131937137
BaseRepresentation
bin111001010100…
…0001100001000
32002112122112010
41302220030020
530143032112
62552015520
7513261336
oct162501410
962478463
1030049032
1115a64312
12a0915a0
1362c13c0
143dc2b56
15298863c
hex1ca8308

30049032 has 128 divisors (see below), whose sum is σ = 88099200. Its totient is φ = 8460288.

The previous prime is 30049021. The next prime is 30049037. The reversal of 30049032 is 23094003.

It is not an unprimeable number, because it can be changed into a prime (30049037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219268 + ... + 219404.

It is an arithmetic number, because the mean of its divisors is an integer number (688275).

Almost surely, 230049032 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 30049032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44049600).

30049032 is an abundant number, since it is smaller than the sum of its proper divisors (58050168).

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

30049032 is a wasteful number, since it uses less digits than its factorization.

30049032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 30049032 is about 5481.6997363956. The cubic root of 30049032 is about 310.8924404811.

The spelling of 30049032 in words is "thirty million, forty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 37 38 39 52 57 74 76 78 104 111 114 137 148 152 156 222 228 247 274 296 312 411 444 456 481 494 548 703 741 822 888 962 988 1096 1406 1443 1482 1644 1781 1924 1976 2109 2603 2812 2886 2964 3288 3562 3848 4218 5069 5206 5343 5624 5772 5928 7124 7809 8436 9139 10138 10412 10686 11544 14248 15207 15618 16872 18278 20276 20824 21372 27417 30414 31236 33839 36556 40552 42744 54834 60828 62472 65897 67678 73112 96311 101517 109668 121656 131794 135356 192622 197691 203034 219336 263588 270712 288933 385244 395382 406068 527176 577866 770488 790764 812136 1155732 1252043 1581528 2311464 2504086 3756129 5008172 7512258 10016344 15024516 30049032