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69488928 = 2534171983
BaseRepresentation
bin1000010010001…
…01000100100000
311211202101220000
410021011010200
5120242121203
610521220000
71502434425
oct411050440
9154671800
1069488928
1136252073
121b331600
1311520012
14932bd4c
1561794a3
hex4245120

69488928 has 240 divisors, whose sum is σ = 230519520. Its totient is φ = 20404224.

The previous prime is 69488927. The next prime is 69488929. The reversal of 69488928 is 82988496.

It is an interprime number because it is at equal distance from previous prime (69488927) and next prime (69488929).

It is a super-2 number, since 2×694889282 = 9657422229178368, 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (69488921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 837175 + ... + 837257.

It is an arithmetic number, because the mean of its divisors is an integer number (960498).

Almost surely, 269488928 is an apocalyptic number.

69488928 is a gapful number since it is divisible by the number (68) 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 69488928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115259760).

69488928 is an abundant number, since it is smaller than the sum of its proper divisors (161030592).

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

69488928 is a wasteful number, since it uses less digits than its factorization.

69488928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

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

The square root of 69488928 is about 8336.0019193856. The cubic root of 69488928 is about 411.1230916943.

It can be divided in two parts, 6948 and 8928, that added together give a square (15876 = 1262).

The spelling of 69488928 in words is "sixty-nine million, four hundred eighty-eight thousand, nine hundred twenty-eight".