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69408416 = 25711171657
BaseRepresentation
bin1000010001100…
…01011010100000
311211121022110002
410020301122200
5120232032131
610515355132
71501650620
oct410613240
9154538402
1069408416
11361a7630
121b2b2aa8
13114c248c
14930a880
1561606cb
hex42316a0

69408416 has 96 divisors (see below), whose sum is σ = 180496512. Its totient is φ = 25436160.

The previous prime is 69408403. The next prime is 69408431. The reversal of 69408416 is 61480496.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 69408416.

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, 41060 + ... + 42716.

It is an arithmetic number, because the mean of its divisors is an integer number (1880172).

Almost surely, 269408416 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 69408416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90248256).

69408416 is an abundant number, since it is smaller than the sum of its proper divisors (111088096).

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

69408416 is a wasteful number, since it uses less digits than its factorization.

69408416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 69408416 is about 8331.1713462154. The cubic root of 69408416 is about 410.9642503976.

The spelling of 69408416 in words is "sixty-nine million, four hundred eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 476 544 616 748 952 1232 1309 1496 1657 1904 2464 2618 2992 3314 3808 5236 5984 6628 10472 11599 13256 18227 20944 23198 26512 28169 36454 41888 46396 53024 56338 72908 92792 112676 127589 145816 185584 197183 225352 255178 291632 309859 371168 394366 450704 510356 583264 619718 788732 901408 1020712 1239436 1577464 2041424 2169013 2478872 3154928 4082848 4338026 4957744 6309856 8676052 9915488 17352104 34704208 69408416