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29986848 = 253423503
BaseRepresentation
bin111001001100…
…1000000100000
32002102111020000
41302121000200
530134034343
62550420000
7512612133
oct162310040
962374200
1029986848
1115a21621
12a061600
13629bcc8
143da821a
152974ed3
hex1c99020

29986848 has 120 divisors (see below), whose sum is σ = 92207808. Its totient is φ = 9542016.

The previous prime is 29986823. The next prime is 29986849. The reversal of 29986848 is 84868992.

It is a super-2 number, since 2×299868482 = 1798422105950208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29986794 and 29986803.

It is not an unprimeable number, because it can be changed into a prime (29986849) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59365 + ... + 59867.

Almost surely, 229986848 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 29986848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46103904).

29986848 is an abundant number, since it is smaller than the sum of its proper divisors (62220960).

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

29986848 is a wasteful number, since it uses less digits than its factorization.

29986848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 29986848 is about 5476.0248355901. The cubic root of 29986848 is about 310.6778369339.

The spelling of 29986848 in words is "twenty-nine million, nine hundred eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 503 552 621 648 736 828 864 1006 1104 1242 1296 1509 1656 1863 2012 2208 2484 2592 3018 3312 3726 4024 4527 4968 6036 6624 7452 8048 9054 9936 11569 12072 13581 14904 16096 18108 19872 23138 24144 27162 29808 34707 36216 40743 46276 48288 54324 59616 69414 72432 81486 92552 104121 108648 138828 144864 162972 185104 208242 217296 277656 312363 325944 370208 416484 434592 555312 624726 651888 832968 937089 1110624 1249452 1303776 1665936 1874178 2498904 3331872 3748356 4997808 7496712 9995616 14993424 29986848