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470295552 = 2103295279
BaseRepresentation
bin11100000010000…
…010010000000000
31012202221111012210
4130002002100000
51430343424202
6114400022120
714440306026
oct3402022000
91182844183
10470295552
11221519011
12111601940
13765847bc
1446662716
152b44bc6c
hex1c082400

470295552 has 88 divisors (see below), whose sum is σ = 1296979200. Its totient is φ = 151330816.

The previous prime is 470295533. The next prime is 470295557. The reversal of 470295552 is 255592074.

It is a hoax number, since the sum of its digits (39) 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 470295552.

It is not an unprimeable number, because it can be changed into a prime (470295557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86449 + ... + 91727.

It is an arithmetic number, because the mean of its divisors is an integer number (14738400).

Almost surely, 2470295552 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 470295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648489600).

470295552 is an abundant number, since it is smaller than the sum of its proper divisors (826683648).

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

470295552 is a wasteful number, since it uses less digits than its factorization.

470295552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5331 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 470295552 is about 21686.2987160096. The cubic root of 470295552 is about 777.6609479908.

The spelling of 470295552 in words is "four hundred seventy million, two hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2784 3072 3712 5279 5568 7424 10558 11136 14848 15837 21116 22272 29696 31674 42232 44544 63348 84464 89088 126696 153091 168928 253392 306182 337856 459273 506784 612364 675712 918546 1013568 1224728 1351424 1837092 2027136 2449456 2702848 3674184 4054272 4898912 5405696 7348368 8108544 9797824 14696736 16217088 19595648 29393472 39191296 58786944 78382592 117573888 156765184 235147776 470295552