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48293880 = 23353773149
BaseRepresentation
bin1011100000111…
…0011111111000
310100212120202020
42320032133320
544330401010
64443034440
71124330325
oct270163770
9110776666
1048293880
11252959a8
121420ba20
13a00b97b
1465b1b4c
15438e470
hex2e0e7f8

48293880 has 128 divisors (see below), whose sum is σ = 151848000. Its totient is φ = 12275712.

The previous prime is 48293879. The next prime is 48293881. The reversal of 48293880 is 8839284.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48293879) and next prime (48293881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48293881) 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, 324046 + ... + 324194.

Almost surely, 248293880 is an apocalyptic number.

48293880 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 48293880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75924000).

48293880 is an abundant number, since it is smaller than the sum of its proper divisors (103554120).

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

48293880 is a wasteful number, since it uses less digits than its factorization.

48293880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 48293880 is about 6949.3798284451. The cubic root of 48293880 is about 364.1642980877.

The spelling of 48293880 in words is "forty-eight million, two hundred ninety-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 73 74 111 120 146 148 149 185 219 222 292 296 298 365 370 438 444 447 555 584 596 730 740 745 876 888 894 1095 1110 1192 1460 1480 1490 1752 1788 2190 2220 2235 2701 2920 2980 3576 4380 4440 4470 5402 5513 5960 8103 8760 8940 10804 10877 11026 13505 16206 16539 17880 21608 21754 22052 27010 27565 32412 32631 33078 40515 43508 44104 54020 54385 55130 64824 65262 66156 81030 82695 87016 108040 108770 110260 130524 132312 162060 163155 165390 217540 220520 261048 324120 326310 330780 402449 435080 652620 661560 804898 1207347 1305240 1609796 2012245 2414694 3219592 4024490 4829388 6036735 8048980 9658776 12073470 16097960 24146940 48293880