Search a number
-
+
49332240 = 2434523331
BaseRepresentation
bin1011110000110…
…0000000010000
310102211100010000
42330030000100
5100112112430
64521210000
71136213526
oct274140020
9112740100
1049332240
1125935051
1214630900
13a2b3499
1467a2316
1544e6e60
hex2f0c010

49332240 has 200 divisors, whose sum is σ = 179327808. Its totient is φ = 12545280.

The previous prime is 49332233. The next prime is 49332247. The reversal of 49332240 is 4223394.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49332233) and next prime (49332247).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (49332247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148875 + ... + 149205.

Almost surely, 249332240 is an apocalyptic number.

49332240 is a gapful number since it is divisible by the number (40) 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 49332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89663904).

49332240 is an abundant number, since it is smaller than the sum of its proper divisors (129995568).

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

49332240 is a wasteful number, since it uses less digits than its factorization.

49332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 49332240 is about 7023.6913371816. The cubic root of 49332240 is about 366.7557616368.

The spelling of 49332240 in words is "forty-nine million, three hundred thirty-two thousand, two hundred forty".