Search a number
-
+
49762152 = 23321183757
BaseRepresentation
bin1011110111010…
…0111101101000
310110122011211200
42331310331220
5100214342102
64534324200
71142654106
oct275647550
9113564750
1049762152
11260a9050
12147b9660
13a40407b
146874c76
15457e51c
hex2f74f68

49762152 has 96 divisors (see below), whose sum is σ = 148992480. Its totient is φ = 14878080.

The previous prime is 49762127. The next prime is 49762157. The reversal of 49762152 is 25126794.

It is a super-2 number, since 2×497621522 = 4952543543342208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (49762157) 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, 65358 + ... + 66114.

It is an arithmetic number, because the mean of its divisors is an integer number (1552005).

Almost surely, 249762152 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 49762152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74496240).

49762152 is an abundant number, since it is smaller than the sum of its proper divisors (99230328).

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

49762152 is a wasteful number, since it uses less digits than its factorization.

49762152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 856 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 49762152 is about 7054.2293696760. The cubic root of 49762152 is about 367.8180614510.

The spelling of 49762152 in words is "forty-nine million, seven hundred sixty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 757 792 913 996 1494 1514 1826 1992 2271 2739 2988 3028 3652 4542 5478 5976 6056 6813 7304 8217 8327 9084 10956 13626 16434 16654 18168 21912 24981 27252 32868 33308 49962 54504 62831 65736 66616 74943 99924 125662 149886 188493 199848 251324 299772 376986 502648 565479 599544 691141 753972 1130958 1382282 1507944 2073423 2261916 2764564 4146846 4523832 5529128 6220269 8293692 12440538 16587384 24881076 49762152