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472288572 = 22327374
BaseRepresentation
bin11100001001101…
…000110100111100
31012220200202010100
4130021220310330
51431401213242
6114510441100
714463246420
oct3411506474
91186622110
10472288572
1122265a438
12112203190
1376b019c2
1446a20b80
152b6e254c
hex1c268d3c

472288572 has 90 divisors (see below), whose sum is σ = 1402288888. Its totient is φ = 131292576.

The previous prime is 472288511. The next prime is 472288573. The reversal of 472288572 is 275882274.

472288572 is a `hidden beast` number, since 4 + 72 + 2 + 8 + 8 + 572 = 666.

Its product of digits (501760) is a multiple of the sum of its prime divisors (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472288573) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12764538 + ... + 12764574.

Almost surely, 2472288572 is an apocalyptic number.

472288572 is a gapful number since it is divisible by the number (42) 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 472288572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701144444).

472288572 is an abundant number, since it is smaller than the sum of its proper divisors (930000316).

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

472288572 is an frugal number, since it uses more digits than its factorization.

472288572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 49 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 472288572 is about 21732.2012690845. The cubic root of 472288572 is about 778.7579245441.

The spelling of 472288572 in words is "four hundred seventy-two million, two hundred eighty-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1369 1554 2331 2738 3108 4107 4662 5476 8214 9324 9583 12321 16428 19166 24642 28749 38332 49284 50653 57498 86247 101306 114996 151959 172494 202612 303918 344988 354571 455877 607836 709142 911754 1063713 1418284 1823508 1874161 2127426 3191139 3748322 4254852 5622483 6382278 7496644 11244966 12764556 13119127 16867449 22489932 26238254 33734898 39357381 52476508 67469796 78714762 118072143 157429524 236144286 472288572