Search a number
-
+
48619632 = 2431989599
BaseRepresentation
bin1011100101111…
…0000001110000
310101111010121010
42321132001300
544421312012
64454030520
71130155125
oct271360160
9111433533
1048619632
1125498716
1214348440
13a0c4019
14665874c
154405c3c
hex2e5e070

48619632 has 80 divisors (see below), whose sum is σ = 133920000. Its totient is φ = 15155712.

The previous prime is 48619621. The next prime is 48619633. The reversal of 48619632 is 23691684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48619633) 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, 80869 + ... + 81467.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 248619632 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 48619632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960000).

48619632 is an abundant number, since it is smaller than the sum of its proper divisors (85300368).

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

48619632 is a wasteful number, since it uses less digits than its factorization.

48619632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 48619632 is about 6972.7779256190. Note that the first 3 decimals coincide. The cubic root of 48619632 is about 364.9812513044.

The spelling of 48619632 in words is "forty-eight million, six hundred nineteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 89 114 152 178 228 267 304 356 456 534 599 712 912 1068 1198 1424 1691 1797 2136 2396 3382 3594 4272 4792 5073 6764 7188 9584 10146 11381 13528 14376 20292 22762 27056 28752 34143 40584 45524 53311 68286 81168 91048 106622 136572 159933 182096 213244 273144 319866 426488 546288 639732 852976 1012909 1279464 2025818 2558928 3038727 4051636 6077454 8103272 12154908 16206544 24309816 48619632