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30004832 = 2511137983
BaseRepresentation
bin111001001110…
…1011001100000
32002110101220002
41302131121200
530140123312
62551035132
7513015434
oct162353140
962411802
1030004832
1115a34090
12a06baa8
1362a7250
143db09c4
15297a4c2
hex1c9d660

30004832 has 96 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 12280320.

The previous prime is 30004831. The next prime is 30004853. The reversal of 30004832 is 23840003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30004831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361463 + ... + 361545.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 230004832 is an apocalyptic number.

30004832 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 30004832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

30004832 is an abundant number, since it is smaller than the sum of its proper divisors (41119648).

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

30004832 is a wasteful number, since it uses less digits than its factorization.

30004832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 30004832 is about 5477.6666565245. Note that the first 4 decimals coincide. The cubic root of 30004832 is about 310.7399320859.

Adding to 30004832 its reverse (23840003), we get a palindrome (53844835).

The spelling of 30004832 in words is "thirty million, four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 79 83 88 104 143 158 166 176 208 286 316 332 352 416 572 632 664 869 913 1027 1079 1144 1264 1328 1738 1826 2054 2158 2288 2528 2656 3476 3652 4108 4316 4576 6557 6952 7304 8216 8632 11297 11869 13114 13904 14608 16432 17264 22594 23738 26228 27808 29216 32864 34528 45188 47476 52456 72127 85241 90376 94952 104912 144254 170482 180752 189904 209824 288508 340964 361504 379808 577016 681928 937651 1154032 1363856 1875302 2308064 2727712 3750604 7501208 15002416 30004832