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30047808 = 263779283
BaseRepresentation
bin111001010011…
…1111001000000
32002112120211210
41302213321000
530143012213
62552010120
7513254640
oct162477100
962476753
1030047808
1115a633aa
12a090940
1362c098b
143dc2520
1529880c3
hex1ca7e40

30047808 has 112 divisors (see below), whose sum is σ = 92334080. Its totient is φ = 8446464.

The previous prime is 30047791. The next prime is 30047813. The reversal of 30047808 is 80874003.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106035 + ... + 106317.

Almost surely, 230047808 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 30047808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46167040).

30047808 is an abundant number, since it is smaller than the sum of its proper divisors (62286272).

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

30047808 is a wasteful number, since it uses less digits than its factorization.

30047808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 30047808 is about 5481.5880910554. The cubic root of 30047808 is about 310.8882191858. Note that the first 3 decimals are identical.

The spelling of 30047808 in words is "thirty million, forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 283 316 336 448 474 553 566 632 672 849 948 1106 1132 1264 1344 1659 1698 1896 1981 2212 2264 2528 3318 3396 3792 3962 4424 4528 5056 5943 6636 6792 7584 7924 8848 9056 11886 13272 13584 15168 15848 17696 18112 22357 23772 26544 27168 31696 35392 44714 47544 53088 54336 63392 67071 89428 95088 106176 126784 134142 156499 178856 190176 268284 312998 357712 380352 469497 536568 625996 715424 938994 1073136 1251992 1430848 1877988 2146272 2503984 3755976 4292544 5007968 7511952 10015936 15023904 30047808