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4213212128 = 252324123753
BaseRepresentation
bin1111101100100000…
…1000001111100000
3101212121220100111122
43323020020033200
532112040242003
61534023431412
7206256466166
oct37310101740
911777810448
104213212128
1118722806a4
12996bb5568
13521b53638
142bd7b5236
15199d3e238
hexfb2083e0

4213212128 has 48 divisors (see below), whose sum is σ = 8691683616. Its totient is φ = 2006568960.

The previous prime is 4213212127. The next prime is 4213212137. The reversal of 4213212128 is 8212123124.

It is a junction number, because it is equal to n+sod(n) for n = 4213212097 and 4213212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213212127) 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, 165500 + ... + 189252.

It is an arithmetic number, because the mean of its divisors is an integer number (181076742).

Almost surely, 24213212128 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 4213212128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345841808).

4213212128 is an abundant number, since it is smaller than the sum of its proper divisors (4478471488).

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

4213212128 is a wasteful number, since it uses less digits than its factorization.

4213212128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24027 (or 24019 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 4213212128 is about 64909.2607260320. The cubic root of 4213212128 is about 1615.1186866866.

The spelling of 4213212128 in words is "four billion, two hundred thirteen million, two hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 241 368 482 736 964 1928 3856 5543 7712 11086 22172 23753 44344 47506 88688 95012 177376 190024 380048 546319 760096 1092638 2185276 4370552 5724473 8741104 11448946 17482208 22897892 45795784 91591568 131662879 183183136 263325758 526651516 1053303032 2106606064 4213212128