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470369424 = 24372227881
BaseRepresentation
bin11100000010010…
…100010010010000
31012210002020112210
4130002110102100
51430403310144
6114401352120
714441034300
oct3402242220
91183066483
10470369424
11221569568
12111638640
13765ac305
1446681600
152b463ab9
hex1c094490

470369424 has 120 divisors (see below), whose sum is σ = 1421346528. Its totient is φ = 133647360.

The previous prime is 470369401. The next prime is 470369443. The reversal of 470369424 is 424963074.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533464 + ... + 534344.

Almost surely, 2470369424 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 470369424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710673264).

470369424 is an abundant number, since it is smaller than the sum of its proper divisors (950977104).

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

470369424 is a wasteful number, since it uses less digits than its factorization.

470369424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 470369424 is about 21688.0018443378. The cubic root of 470369424 is about 777.7016630700.

The spelling of 470369424 in words is "four hundred seventy million, three hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 227 294 336 392 454 588 681 784 881 908 1176 1362 1589 1762 1816 2352 2643 2724 3178 3524 3632 4767 5286 5448 6167 6356 7048 9534 10572 10896 11123 12334 12712 14096 18501 19068 21144 22246 24668 25424 33369 37002 38136 42288 43169 44492 49336 66738 74004 76272 86338 88984 98672 129507 133476 148008 172676 177968 199987 259014 266952 296016 345352 399974 518028 533904 599961 690704 799948 1036056 1199922 1399909 1599896 2072112 2399844 2799818 3199792 4199727 4799688 5599636 8399454 9599376 9799363 11199272 16798908 19598726 22398544 29398089 33597816 39197452 58796178 67195632 78394904 117592356 156789808 235184712 470369424