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48952992 = 25311151307
BaseRepresentation
bin1011101010111…
…1011010100000
310102010001212210
42322233122200
5100012443432
64505122120
71133044044
oct272573240
9112101783
1048952992
11256a6120
1214489340
13a1ac98a
146704024
15446e8cc
hex2eaf6a0

48952992 has 96 divisors (see below), whose sum is σ = 141571584. Its totient is φ = 14688000.

The previous prime is 48952909. The next prime is 48953011. The reversal of 48952992 is 29925984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159303 + ... + 159609.

It is an arithmetic number, because the mean of its divisors is an integer number (1474704).

Almost surely, 248952992 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 48952992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70785792).

48952992 is an abundant number, since it is smaller than the sum of its proper divisors (92618592).

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

48952992 is a wasteful number, since it uses less digits than its factorization.

48952992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 48952992 is about 6996.6414800245. The cubic root of 48952992 is about 365.8135154376.

It can be divided in two parts, 4895 and 2992, that added together give a palindrome (7887).

The spelling of 48952992 in words is "forty-eight million, nine hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 151 176 264 302 307 352 453 528 604 614 906 921 1056 1208 1228 1661 1812 1842 2416 2456 3322 3377 3624 3684 4832 4912 4983 6644 6754 7248 7368 9824 9966 10131 13288 13508 14496 14736 19932 20262 26576 27016 29472 39864 40524 46357 53152 54032 79728 81048 92714 108064 139071 159456 162096 185428 278142 324192 370856 509927 556284 741712 1019854 1112568 1483424 1529781 2039708 2225136 3059562 4079416 4450272 6119124 8158832 12238248 16317664 24476496 48952992