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29494248 = 23374192
BaseRepresentation
bin111000010000…
…0101111101000
32001111110111120
41300200233220
530022303443
62532055240
7505461030
oct160405750
961443446
1029494248
1115715513
129a64520
136158a24
143cba8c0
1528c9083
hex1c20be8

29494248 has 48 divisors (see below), whose sum is σ = 84470880. Its totient is φ = 8406816.

The previous prime is 29494207. The next prime is 29494253. The reversal of 29494248 is 84249492.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 70183 + ... + 70601.

It is an arithmetic number, because the mean of its divisors is an integer number (1759810).

Almost surely, 229494248 is an apocalyptic number.

29494248 is a gapful number since it is divisible by the number (28) 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 29494248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42235440).

29494248 is an abundant number, since it is smaller than the sum of its proper divisors (54976632).

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

29494248 is an equidigital number, since it uses as much as digits as its factorization.

29494248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 431 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 29494248 is about 5430.8607052658. The cubic root of 29494248 is about 308.9672465571.

Multiplying 29494248 by its sum of digits (42), we get a square (1238758416 = 351962).

29494248 divided by its sum of digits (42) gives a square (702244 = 8382).

The spelling of 29494248 in words is "twenty-nine million, four hundred ninety-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 419 838 1257 1676 2514 2933 3352 5028 5866 8799 10056 11732 17598 23464 35196 70392 175561 351122 526683 702244 1053366 1228927 1404488 2106732 2457854 3686781 4213464 4915708 7373562 9831416 14747124 29494248