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30487392 = 25321317479
BaseRepresentation
bin111010001001…
…1001101100000
32010100220211200
41310103031200
530301044032
63005241200
7520065345
oct164231540
963326750
1030487392
11162336a1
12a263200
136415aa0
1440987cc
152a2347c
hex1d13360

30487392 has 144 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 8810496.

The previous prime is 30487367. The next prime is 30487393. The reversal of 30487392 is 29378403.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30487393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63409 + ... + 63887.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 230487392 is an apocalyptic number.

30487392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30487392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

30487392 is an abundant number, since it is smaller than the sum of its proper divisors (68578848).

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

30487392 is a wasteful number, since it uses less digits than its factorization.

30487392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 30487392 is about 5521.5389159183. The cubic root of 30487392 is about 312.3969307026.

It can be divided in two parts, 3048 and 7392, that added together give a triangular number (10440 = T144).

The spelling of 30487392 in words is "thirty million, four hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 479 544 612 624 663 816 884 936 958 1224 1248 1326 1437 1632 1768 1872 1916 1989 2448 2652 2874 3536 3744 3832 3978 4311 4896 5304 5748 6227 7072 7664 7956 8143 8622 10608 11496 12454 15328 15912 16286 17244 18681 21216 22992 24429 24908 31824 32572 34488 37362 45984 48858 49816 56043 63648 65144 68976 73287 74724 97716 99632 105859 112086 130288 137952 146574 149448 195432 199264 211718 224172 260576 293148 298896 317577 390864 423436 448344 586296 597792 635154 781728 846872 896688 952731 1172592 1270308 1693744 1793376 1905462 2345184 2540616 3387488 3810924 5081232 7621848 10162464 15243696 30487392