Search a number
-
+
3750798240 = 2532571392677
BaseRepresentation
bin1101111110010000…
…1010001110100000
3100200101210021220100
43133210022032200
530140201020430
61420104342400
7161643154560
oct33744121640
910611707810
103750798240
111655256262
12888174a00
1347a0cb457
14278204da0
1516e44c960
hexdf90a3a0

3750798240 has 288 divisors, whose sum is σ = 14738855040. Its totient is φ = 850839552.

The previous prime is 3750798211. The next prime is 3750798241. The reversal of 3750798240 is 428970573.

3750798240 is a `hidden beast` number, since 37 + 507 + 98 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3750798241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1399782 + ... + 1402458.

It is an arithmetic number, because the mean of its divisors is an integer number (51176580).

Almost surely, 23750798240 is an apocalyptic number.

3750798240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3750798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369427520).

3750798240 is an abundant number, since it is smaller than the sum of its proper divisors (10988056800).

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

3750798240 is a wasteful number, since it uses less digits than its factorization.

3750798240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3750798240 is about 61243.7608250832. The cubic root of 3750798240 is about 1553.7264814794.

The spelling of 3750798240 in words is "three billion, seven hundred fifty million, seven hundred ninety-eight thousand, two hundred forty".