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474672 = 243112931
BaseRepresentation
bin1110011111000110000
3220010010110
41303320300
5110142142
614101320
74014612
oct1637060
9803113
10474672
112a46a0
121aa840
13138093
14c4db2
159599c
hex73e30

474672 has 80 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 134400.

The previous prime is 474671. The next prime is 474707. The reversal of 474672 is 276474.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (474671) 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, 15297 + ... + 15327.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2474672 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 474672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

474672 is an abundant number, since it is smaller than the sum of its proper divisors (953808).

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

474672 is a wasteful number, since it uses less digits than its factorization.

474672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 474672 is about 688.9644403015. The cubic root of 474672 is about 78.0065740679.

The spelling of 474672 in words is "four hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 31 33 44 48 58 62 66 87 88 93 116 124 132 174 176 186 232 248 264 319 341 348 372 464 496 528 638 682 696 744 899 957 1023 1276 1364 1392 1488 1798 1914 2046 2552 2697 2728 3596 3828 4092 5104 5394 5456 7192 7656 8184 9889 10788 14384 15312 16368 19778 21576 29667 39556 43152 59334 79112 118668 158224 237336 474672