Search a number
-
+
64750400 = 26521113283
BaseRepresentation
bin1111011100000…
…0001101000000
311111211122211222
43313000031000
5113034003100
610231454212
71414240451
oct367001500
9144748758
1064750400
1133605a30
1219827368
1310551260
148857128
155a40485
hex3dc0340

64750400 has 168 divisors, whose sum is σ = 187842144. Its totient is φ = 21657600.

The previous prime is 64750391. The next prime is 64750403. The reversal of 64750400 is 405746.

It is a super-2 number, since 2×647504002 = 8385228600320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 64750400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64750403) 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, 228659 + ... + 228941.

It is an arithmetic number, because the mean of its divisors is an integer number (1118108).

Almost surely, 264750400 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 64750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93921072).

64750400 is an abundant number, since it is smaller than the sum of its proper divisors (123091744).

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

64750400 is a wasteful number, since it uses less digits than its factorization.

64750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 64750400 is about 8046.7633244678. The cubic root of 64750400 is about 401.5572627971.

The spelling of 64750400 in words is "sixty-four million, seven hundred fifty thousand, four hundred".