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48126780 = 2232513131157
BaseRepresentation
bin1011011110010…
…1101100111100
310100120002112100
42313211230330
544310024110
64435305100
71123033212
oct267455474
9110502470
1048126780
11251913a9
121414b190
139c808b0
14656acb2
154359bc0
hex2de5b3c

48126780 has 144 divisors (see below), whose sum is σ = 159423264. Its totient is φ = 11681280.

The previous prime is 48126773. The next prime is 48126797. The reversal of 48126780 is 8762184.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306462 + ... + 306618.

It is an arithmetic number, because the mean of its divisors is an integer number (1107106).

Almost surely, 248126780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48126780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79711632).

48126780 is an abundant number, since it is smaller than the sum of its proper divisors (111296484).

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

48126780 is a wasteful number, since it uses less digits than its factorization.

48126780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 48126780 is about 6937.3467550642. The cubic root of 48126780 is about 363.7438019279.

It can be divided in two parts, 481 and 26780, that added together give a triangular number (27261 = T233).

The spelling of 48126780 in words is "forty-eight million, one hundred twenty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 131 156 157 180 195 234 260 262 314 390 393 468 471 524 585 628 655 780 785 786 942 1170 1179 1310 1413 1570 1572 1703 1884 1965 2041 2340 2355 2358 2620 2826 3140 3406 3930 4082 4710 4716 5109 5652 5895 6123 6812 7065 7860 8164 8515 9420 10205 10218 11790 12246 14130 15327 17030 18369 20410 20436 20567 23580 24492 25545 28260 30615 30654 34060 36738 40820 41134 51090 61230 61308 61701 73476 76635 82268 91845 102180 102835 122460 123402 153270 183690 185103 205670 246804 267371 306540 308505 367380 370206 411340 534742 617010 740412 802113 925515 1069484 1234020 1336855 1604226 1851030 2406339 2673710 3208452 3702060 4010565 4812678 5347420 8021130 9625356 12031695 16042260 24063390 48126780