Search a number
-
+
48925632 = 263759617
BaseRepresentation
bin1011101010100…
…0101111000000
310102001200100110
42322220233000
5100011110012
64504351320
71132601220
oct272505700
9112050313
1048925632
1125687608
1214475540
13a1a03a2
1466d8080
15446673c
hex2ea8bc0

48925632 has 112 divisors (see below), whose sum is σ = 150693120. Its totient is φ = 13719552.

The previous prime is 48925601. The next prime is 48925633. The reversal of 48925632 is 23652984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48925633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78988 + ... + 79604.

Almost surely, 248925632 is an apocalyptic number.

48925632 is a gapful number since it is divisible by the number (42) 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 48925632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75346560).

48925632 is an abundant number, since it is smaller than the sum of its proper divisors (101767488).

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

48925632 is a wasteful number, since it uses less digits than its factorization.

48925632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 48925632 is about 6994.6859829445. The cubic root of 48925632 is about 365.7453512487.

The spelling of 48925632 in words is "forty-eight million, nine hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 168 177 192 224 236 336 354 413 448 472 617 672 708 826 944 1234 1239 1344 1416 1652 1851 1888 2468 2478 2832 3304 3702 3776 4319 4936 4956 5664 6608 7404 8638 9872 9912 11328 12957 13216 14808 17276 19744 19824 25914 26432 29616 34552 36403 39488 39648 51828 59232 69104 72806 79296 103656 109209 118464 138208 145612 207312 218418 254821 276416 291224 414624 436836 509642 582448 764463 829248 873672 1019284 1164896 1528926 1747344 2038568 2329792 3057852 3494688 4077136 6115704 6989376 8154272 12231408 16308544 24462816 48925632