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469042784 = 25717373329
BaseRepresentation
bin11011111101010…
…000011001100000
31012200120211201222
4123331100121200
51430033332114
6114313114212
714423540450
oct3375203140
91180524658
10469042784
11220842871
121110b8968
1376236512
1446417d60
152b2a098e
hex1bf50660

469042784 has 96 divisors (see below), whose sum is σ = 1147970880. Its totient is φ = 184025088.

The previous prime is 469042771. The next prime is 469042787. The reversal of 469042784 is 487240964.

It is a super-2 number, since 2×4690427842 = 440002266444941312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469042787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139232 + ... + 142560.

It is an arithmetic number, because the mean of its divisors is an integer number (11958030).

Almost surely, 2469042784 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 469042784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573985440).

469042784 is an abundant number, since it is smaller than the sum of its proper divisors (678928096).

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

469042784 is a wasteful number, since it uses less digits than its factorization.

469042784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 469042784 is about 21657.3955959621. The cubic root of 469042784 is about 776.9698257981.

It can be divided in two parts, 4690 and 42784, that added together give a palindrome (47474).

The spelling of 469042784 in words is "four hundred sixty-nine million, forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 68 74 112 119 136 148 224 238 259 272 296 476 518 544 592 629 952 1036 1184 1258 1904 2072 2516 3329 3808 4144 4403 5032 6658 8288 8806 10064 13316 17612 20128 23303 26632 35224 46606 53264 56593 70448 93212 106528 113186 123173 140896 186424 226372 246346 372848 396151 452744 492692 745696 792302 862211 905488 985384 1584604 1724422 1810976 1970768 2093941 3169208 3448844 3941536 4187882 6338416 6897688 8375764 12676832 13795376 14657587 16751528 27590752 29315174 33503056 58630348 67006112 117260696 234521392 469042784