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474049408 = 2773171669
BaseRepresentation
bin11100010000010…
…110101110000000
31020001000012112111
4130100112232000
51432324040113
6115012305104
714514232150
oct3420265600
91201005474
10474049408
11223652378
12112912194
137729a311
1446d5c760
152b93e13d
hex1c416b80

474049408 has 64 divisors (see below), whose sum is σ = 1083362400. Its totient is φ = 202401792.

The previous prime is 474049391. The next prime is 474049469. The reversal of 474049408 is 804940474.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283198 + ... + 284866.

Almost surely, 2474049408 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 474049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541681200).

474049408 is an abundant number, since it is smaller than the sum of its proper divisors (609312992).

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

474049408 is a wasteful number, since it uses less digits than its factorization.

474049408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 474049408 is about 21772.6757198099. The cubic root of 474049408 is about 779.7245400317.

The spelling of 474049408 in words is "four hundred seventy-four million, forty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 317 448 634 896 1268 1669 2219 2536 3338 4438 5072 6676 8876 10144 11683 13352 17752 20288 23366 26704 35504 40576 46732 53408 71008 93464 106816 142016 186928 213632 284032 373856 529073 747712 1058146 1495424 2116292 3703511 4232584 7407022 8465168 14814044 16930336 29628088 33860672 59256176 67721344 118512352 237024704 474049408