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29750496 = 253437207
BaseRepresentation
bin111000101111…
…1010011100000
32001222111000020
41301133103200
530104003441
62541353440
7510606066
oct161372340
961874006
1029750496
111587aa96
129b68880
136218559
143d46036
152929e66
hex1c5f4e0

29750496 has 48 divisors (see below), whose sum is σ = 79922304. Its totient is φ = 9684864.

The previous prime is 29750467. The next prime is 29750503. The reversal of 29750496 is 69405792.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525 + ... + 7731.

It is an arithmetic number, because the mean of its divisors is an integer number (1665048).

Almost surely, 229750496 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 29750496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39961152).

29750496 is an abundant number, since it is smaller than the sum of its proper divisors (50171808).

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

29750496 is a wasteful number, since it uses less digits than its factorization.

29750496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7263 (or 7255 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 29750496 is about 5454.4015253738. The cubic root of 29750496 is about 309.8594437379.

The spelling of 29750496 in words is "twenty-nine million, seven hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 7207 14414 21621 28828 43242 57656 86484 115312 172968 230624 309901 345936 619802 691872 929703 1239604 1859406 2479208 3718812 4958416 7437624 9916832 14875248 29750496