Search a number
-
+
4251905028 = 22337223181193
BaseRepresentation
bin1111110101101110…
…1110110000000100
3101222022201011012000
43331123232300010
532201441430103
61541525025300
7210236411400
oct37533566004
911868634160
104251905028
1118920a91a8
129a7b55230
13529b80247
142c49a8100
1519d433aa3
hexfd6eec04

4251905028 has 288 divisors, whose sum is σ = 13524376320. Its totient is φ = 1149603840.

The previous prime is 4251905017. The next prime is 4251905039. The reversal of 4251905028 is 8205091524.

It is an interprime number because it is at equal distance from previous prime (4251905017) and next prime (4251905039).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4251904983 and 4251905001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22030500 + ... + 22030692.

It is an arithmetic number, because the mean of its divisors is an integer number (46959640).

Almost surely, 24251905028 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 4251905028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762188160).

4251905028 is an abundant number, since it is smaller than the sum of its proper divisors (9272471292).

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

4251905028 is a wasteful number, since it uses less digits than its factorization.

4251905028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4251905028 is about 65206.6333128770. The cubic root of 4251905028 is about 1620.0478861017.

The spelling of 4251905028 in words is "four billion, two hundred fifty-one million, nine hundred five thousand, twenty-eight".