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48609240 = 23353173179
BaseRepresentation
bin1011100101101…
…1011111011000
310101110121100020
42321123133120
544420443430
64453510440
71130112621
oct271333730
9111417306
1048609240
1125490929
1214342420
13a0bc384
146654a48
154402b10
hex2e5b7d8

48609240 has 128 divisors (see below), whose sum is σ = 153446400. Its totient is φ = 12303360.

The previous prime is 48609229. The next prime is 48609247. The reversal of 48609240 is 4290684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48609247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271471 + ... + 271649.

It is an arithmetic number, because the mean of its divisors is an integer number (1198800).

Almost surely, 248609240 is an apocalyptic number.

48609240 is a gapful number since it is divisible by the number (40) 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 48609240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76723200).

48609240 is an abundant number, since it is smaller than the sum of its proper divisors (104837160).

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

48609240 is a wasteful number, since it uses less digits than its factorization.

48609240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48609240 is about 6972.0327021608. The cubic root of 48609240 is about 364.9552456542.

The spelling of 48609240 in words is "forty-eight million, six hundred nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 73 93 120 124 146 155 179 186 219 248 292 310 358 365 372 438 465 537 584 620 716 730 744 876 895 930 1074 1095 1240 1432 1460 1752 1790 1860 2148 2190 2263 2685 2920 3580 3720 4296 4380 4526 5370 5549 6789 7160 8760 9052 10740 11098 11315 13067 13578 16647 18104 21480 22196 22630 26134 27156 27745 33294 33945 39201 44392 45260 52268 54312 55490 65335 66588 67890 78402 83235 90520 104536 110980 130670 133176 135780 156804 166470 196005 221960 261340 271560 313608 332940 392010 405077 522680 665880 784020 810154 1215231 1568040 1620308 2025385 2430462 3240616 4050770 4860924 6076155 8101540 9721848 12152310 16203080 24304620 48609240