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48342360 = 23351153691
BaseRepresentation
bin1011100001101…
…0010101011000
310100222001020210
42320122111120
544333423420
64444051120
71124621553
oct270322530
9110861223
1048342360
1125319370
1214233aa0
13a027a61
1465c569a
15439d9e0
hex2e1a558

48342360 has 128 divisors (see below), whose sum is σ = 161429760. Its totient is φ = 11481600.

The previous prime is 48342353. The next prime is 48342383. The reversal of 48342360 is 6324384.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69615 + ... + 70305.

It is an arithmetic number, because the mean of its divisors is an integer number (1261170).

Almost surely, 248342360 is an apocalyptic number.

48342360 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 48342360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80714880).

48342360 is an abundant number, since it is smaller than the sum of its proper divisors (113087400).

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

48342360 is a wasteful number, since it uses less digits than its factorization.

48342360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 48342360 is about 6952.8670345405. The cubic root of 48342360 is about 364.2861132527.

The spelling of 48342360 in words is "forty-eight million, three hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 691 795 1060 1166 1272 1320 1382 1590 1749 2073 2120 2332 2764 2915 3180 3455 3498 4146 4664 5528 5830 6360 6910 6996 7601 8292 8745 10365 11660 13820 13992 15202 16584 17490 20730 22803 23320 27640 30404 34980 36623 38005 41460 45606 60808 69960 73246 76010 82920 91212 109869 114015 146492 152020 182424 183115 219738 228030 292984 304040 366230 402853 439476 456060 549345 732460 805706 878952 912120 1098690 1208559 1464920 1611412 2014265 2197380 2417118 3222824 4028530 4394760 4834236 6042795 8057060 9668472 12085590 16114120 24171180 48342360