Search a number
-
+
472515104 = 25197271069
BaseRepresentation
bin11100001010100…
…000001000100000
31012221010020212102
4130022200020200
51431430440404
6114515345532
714465212025
oct3412401040
91187106772
10472515104
112227a4656
121122b22a8
1376b80b49
1446a7d54c
152b73971e
hex1c2a0220

472515104 has 48 divisors (see below), whose sum is σ = 981489600. Its totient is φ = 223305984.

The previous prime is 472515101. The next prime is 472515107. The reversal of 472515104 is 401515274.

It is an interprime number because it is at equal distance from previous prime (472515101) and next prime (472515107).

It is not an unprimeable number, because it can be changed into a prime (472515101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441482 + ... + 442550.

It is an arithmetic number, because the mean of its divisors is an integer number (20447700).

Almost surely, 2472515104 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 472515104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490744800).

472515104 is an abundant number, since it is smaller than the sum of its proper divisors (508974496).

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

472515104 is a wasteful number, since it uses less digits than its factorization.

472515104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 472515104 is about 21737.4125415147. The cubic root of 472515104 is about 778.8824143883.

The spelling of 472515104 in words is "four hundred seventy-two million, five hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 727 1069 1454 2138 2908 4276 5816 8552 11632 13813 17104 20311 23264 27626 34208 40622 55252 81244 110504 162488 221008 324976 442016 649952 777163 1554326 3108652 6217304 12434608 14766097 24869216 29532194 59064388 118128776 236257552 472515104