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472544880 = 243515712541
BaseRepresentation
bin11100001010100…
…111011001110000
31012221011202201020
4130022213121300
51431432414010
6114520135440
714465364603
oct3412473160
91187152636
10472544880
11222814a65
12112307580
1376b91572
1446a8a33a
152b743470
hex1c2a7670

472544880 has 80 divisors (see below), whose sum is σ = 1474337184. Its totient is φ = 125199360.

The previous prime is 472544851. The next prime is 472544881. The reversal of 472544880 is 88445274.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4725448802 = 446597327228428800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472544881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31410 + ... + 43950.

Almost surely, 2472544880 is an apocalyptic number.

472544880 is a gapful number since it is divisible by the number (40) 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 472544880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737168592).

472544880 is an abundant number, since it is smaller than the sum of its proper divisors (1001792304).

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

472544880 is a wasteful number, since it uses less digits than its factorization.

472544880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12714 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 472544880 is about 21738.0974328482. The cubic root of 472544880 is about 778.8987747229.

The spelling of 472544880 in words is "four hundred seventy-two million, five hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 6280 7536 9420 12541 12560 18840 25082 37623 37680 50164 62705 75246 100328 125410 150492 188115 200656 250820 300984 376230 501640 601968 752460 1003280 1504920 1968937 3009840 3937874 5906811 7875748 9844685 11813622 15751496 19689370 23627244 29534055 31502992 39378740 47254488 59068110 78757480 94508976 118136220 157514960 236272440 472544880