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470397100 = 225231413701
BaseRepresentation
bin11100000010011…
…011000010101100
31012210010122111211
4130002123002230
51430410201400
6114402124204
714441211055
oct3402330254
91183118454
10470397100
11221588338
12111650664
13765bbaa4
144668b72c
152b46bdba
hex1c09b0ac

470397100 has 72 divisors (see below), whose sum is σ = 1079680896. Its totient is φ = 177600000.

The previous prime is 470397077. The next prime is 470397107. The reversal of 470397100 is 1793074.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (470397107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125250 + ... + 128950.

It is an arithmetic number, because the mean of its divisors is an integer number (14995568).

Almost surely, 2470397100 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 470397100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539840448).

470397100 is an abundant number, since it is smaller than the sum of its proper divisors (609283796).

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

470397100 is a wasteful number, since it uses less digits than its factorization.

470397100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 470397100 is about 21688.6398835888. The cubic root of 470397100 is about 777.7169157969.

The spelling of 470397100 in words is "four hundred seventy million, three hundred ninety-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 41 50 62 82 100 124 155 164 205 310 410 620 775 820 1025 1271 1550 2050 2542 3100 3701 4100 5084 6355 7402 12710 14804 18505 25420 31775 37010 63550 74020 92525 114731 127100 151741 185050 229462 303482 370100 458924 573655 606964 758705 1147310 1517410 2294620 2868275 3034820 3793525 4703971 5736550 7587050 9407942 11473100 15174100 18815884 23519855 47039710 94079420 117599275 235198550 470397100