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479428608 = 21534877
BaseRepresentation
bin11100100100111…
…000000000000000
31020102010111102010
4130210320000000
51440213203413
6115323452520
714611035021
oct3444700000
91212114363
10479428608
1122669689a
12114687140
1378431889
144795cc48
152c152dc3
hex1c938000

479428608 has 64 divisors (see below), whose sum is σ = 1278718920. Its totient is φ = 159776768.

The previous prime is 479428601. The next prime is 479428633. The reversal of 479428608 is 806824974.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479428601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95866 + ... + 100742.

Almost surely, 2479428608 is an apocalyptic number.

479428608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639359460).

479428608 is an abundant number, since it is smaller than the sum of its proper divisors (799290312).

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

479428608 is an frugal number, since it uses more digits than its factorization.

479428608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 479428608 is about 21895.8582384888. The cubic root of 479428608 is about 782.6627209768.

The spelling of 479428608 in words is "four hundred seventy-nine million, four hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4877 6144 8192 9754 12288 14631 16384 19508 24576 29262 32768 39016 49152 58524 78032 98304 117048 156064 234096 312128 468192 624256 936384 1248512 1872768 2497024 3745536 4994048 7491072 9988096 14982144 19976192 29964288 39952384 59928576 79904768 119857152 159809536 239714304 479428608