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472931920 = 2457974831
BaseRepresentation
bin11100001100000…
…101111001010000
31012221220102122001
4130030011321100
51432032310140
6114532323344
714501566156
oct3414057120
91187812561
10472931920
11222a5982a
12112473554
1376c98796
1446b4b3d6
152b7bce9a
hex1c305e50

472931920 has 40 divisors (see below), whose sum is σ = 1113500160. Its totient is φ = 186775680.

The previous prime is 472931867. The next prime is 472931947. The reversal of 472931920 is 29139274.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 472931920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31096 + ... + 43735.

It is an arithmetic number, because the mean of its divisors is an integer number (27837504).

Almost surely, 2472931920 is an apocalyptic number.

472931920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472931920 is an abundant number, since it is smaller than the sum of its proper divisors (640568240).

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

472931920 is a wasteful number, since it uses less digits than its factorization.

472931920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74923 (or 74917 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 472931920 is about 21746.9979537406. The cubic root of 472931920 is about 779.1113702008. Note that the first 3 decimals are identical.

It can be divided in two parts, 472931 and 920, that added together give a triangular number (473851 = T973).

The spelling of 472931920 in words is "four hundred seventy-two million, nine hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 74831 149662 299324 374155 598648 748310 1197296 1496620 2993240 5911649 5986480 11823298 23646596 29558245 47293192 59116490 94586384 118232980 236465960 472931920