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475142784 = 27310112251
BaseRepresentation
bin11100010100100…
…001101010000000
31020010001202100220
4130110201222000
51433114032114
6115051543040
714526434634
oct3424415200
91203052326
10475142784
11224229896
1211315aa80
1377590b9c
1447164dc4
152baa80a9
hex1c521a80

475142784 has 64 divisors (see below), whose sum is σ = 1274698080. Its totient is φ = 156800000.

The previous prime is 475142783. The next prime is 475142807. The reversal of 475142784 is 487241574.

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

It is not an unprimeable number, because it can be changed into a prime (475142783) 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, 32659 + ... + 44909.

Almost surely, 2475142784 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 475142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637349040).

475142784 is an abundant number, since it is smaller than the sum of its proper divisors (799555296).

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

475142784 is a wasteful number, since it uses less digits than its factorization.

475142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12369 (or 12357 counting only the distinct ones).

The product of its digits is 250880, while the sum is 42.

The square root of 475142784 is about 21797.7701611885. The cubic root of 475142784 is about 780.3235475607.

The spelling of 475142784 in words is "four hundred seventy-five million, one hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 606 808 1212 1616 2424 3232 4848 6464 9696 12251 12928 19392 24502 36753 38784 49004 73506 98008 147012 196016 294024 392032 588048 784064 1176096 1237351 1568128 2352192 2474702 3712053 4704384 4949404 7424106 9898808 14848212 19797616 29696424 39595232 59392848 79190464 118785696 158380928 237571392 475142784