Search a number
-
+
49150816 = 25111323467
BaseRepresentation
bin1011101101111…
…1101101100000
310102111010020121
42323133231200
5100040311231
64513250024
71134526561
oct273375540
9112433217
1049150816
1125820810
1214563914
13a24ba30
146756168
1544ad311
hex2edfb60

49150816 has 96 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 19683840.

The previous prime is 49150813. The next prime is 49150823. The reversal of 49150816 is 61805194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49150813) 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, 105015 + ... + 105481.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 249150816 is an apocalyptic number.

49150816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

49150816 is the 4048-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49150816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

49150816 is an abundant number, since it is smaller than the sum of its proper divisors (69728672).

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

49150816 is a wasteful number, since it uses less digits than its factorization.

49150816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 49150816 is about 7010.7642949967. The cubic root of 49150816 is about 366.3056163138.

The spelling of 49150816 in words is "forty-nine million, one hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 88 92 104 143 176 184 208 253 286 299 352 368 416 467 506 572 598 736 934 1012 1144 1196 1868 2024 2288 2392 3289 3736 4048 4576 4784 5137 6071 6578 7472 8096 9568 10274 10741 12142 13156 14944 20548 21482 24284 26312 41096 42964 48568 52624 66781 82192 85928 97136 105248 118151 133562 139633 164384 171856 194272 236302 267124 279266 343712 472604 534248 558532 945208 1068496 1117064 1535963 1890416 2136992 2234128 3071926 3780832 4468256 6143852 12287704 24575408 49150816