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49141248 = 2931323107
BaseRepresentation
bin1011101101110…
…1011000000000
310102110122010020
42323131120000
5100040004443
64513133440
71134456642
oct273353000
9112418106
1049141248
1125814602
121455a280
13a247580
146752892
1544aa583
hex2edd600

49141248 has 160 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 14327808.

The previous prime is 49141219. The next prime is 49141249. The reversal of 49141248 is 84214194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49141249) 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, 459211 + ... + 459317.

Almost surely, 249141248 is an apocalyptic number.

49141248 is a gapful number since it is divisible by the number (48) 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 49141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

49141248 is an abundant number, since it is smaller than the sum of its proper divisors (99349248).

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

49141248 is a wasteful number, since it uses less digits than its factorization.

49141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 49141248 is about 7010.0818825460. The cubic root of 49141248 is about 366.2818456702.

The spelling of 49141248 in words is "forty-nine million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 107 128 138 156 184 192 208 214 256 276 299 312 321 368 384 416 428 512 552 598 624 642 736 768 832 856 897 1104 1196 1248 1284 1391 1472 1536 1664 1712 1794 2208 2392 2461 2496 2568 2782 2944 3328 3424 3588 4173 4416 4784 4922 4992 5136 5564 5888 6656 6848 7176 7383 8346 8832 9568 9844 9984 10272 11128 11776 13696 14352 14766 16692 17664 19136 19688 19968 20544 22256 27392 28704 29532 31993 33384 35328 38272 39376 41088 44512 54784 57408 59064 63986 66768 76544 78752 82176 89024 95979 114816 118128 127972 133536 153088 157504 164352 178048 191958 229632 236256 255944 267072 315008 356096 383916 459264 472512 511888 534144 630016 712192 767832 945024 1023776 1068288 1260032 1535664 1890048 2047552 2136576 3071328 3780096 4095104 6142656 8190208 12285312 16380416 24570624 49141248