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48942320 = 2457175397
BaseRepresentation
bin1011101010110…
…0110011110000
310102002112020112
42322230303300
5100012123240
64505000452
71133000660
oct272546360
9112075215
1048942320
11256990a9
1214483128
13a1a7b6b
1467001a0
15446b665
hex2eaccf0

48942320 has 160 divisors (see below), whose sum is σ = 141740928. Its totient is φ = 15335424.

The previous prime is 48942293. The next prime is 48942323. The reversal of 48942320 is 2324984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48942323) 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, 504512 + ... + 504608.

Almost surely, 248942320 is an apocalyptic number.

48942320 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 48942320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464).

48942320 is an abundant number, since it is smaller than the sum of its proper divisors (92798608).

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

48942320 is a wasteful number, since it uses less digits than its factorization.

48942320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 48942320 is about 6995.8787868287. The cubic root of 48942320 is about 365.7869304398.

The spelling of 48942320 in words is "forty-eight million, nine hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 53 56 68 70 80 85 97 106 112 119 136 140 170 194 212 238 265 272 280 340 371 388 424 476 485 530 560 595 679 680 742 776 848 901 952 970 1060 1190 1358 1360 1484 1552 1649 1802 1855 1904 1940 2120 2380 2716 2968 3298 3395 3604 3710 3880 4240 4505 4760 5141 5432 5936 6307 6596 6790 7208 7420 7760 8245 9010 9520 10282 10864 11543 12614 13192 13580 14416 14840 16490 18020 20564 23086 25228 25705 26384 27160 29680 31535 32980 35987 36040 41128 46172 50456 51410 54320 57715 63070 65960 71974 72080 82256 87397 92344 100912 102820 115430 126140 131920 143948 174794 179935 184688 205640 230860 252280 287896 349588 359870 411280 436985 461720 504560 575792 611779 699176 719740 873970 923440 1223558 1398352 1439480 1747940 2447116 2878960 3058895 3495880 4894232 6117790 6991760 9788464 12235580 24471160 48942320