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48008142 = 23272135379
BaseRepresentation
bin1011011100100…
…0101111001110
310100100001210100
42313020233032
544242230032
64432551530
71122030300
oct267105716
9110301710
1048008142
1125110256
12140b25a6
139c3b8b0
146539970
15433497c
hex2dc8bce

48008142 has 144 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 12265344.

The previous prime is 48008099. The next prime is 48008143. The reversal of 48008142 is 24180084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48008143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 607659 + ... + 607737.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 248008142 is an apocalyptic number.

48008142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48008142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

48008142 is an abundant number, since it is smaller than the sum of its proper divisors (86438898).

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

48008142 is a wasteful number, since it uses less digits than its factorization.

48008142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48008142 is about 6928.7908035963. The cubic root of 48008142 is about 363.4446660101. Note that the first 3 decimals are identical.

The spelling of 48008142 in words is "forty-eight million, eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 53 63 78 79 91 98 106 117 126 147 158 159 182 234 237 273 294 318 371 441 474 477 546 553 637 689 711 742 819 882 954 1027 1106 1113 1274 1378 1422 1638 1659 1911 2054 2067 2226 2597 3081 3318 3339 3822 3871 4134 4187 4823 4977 5194 5733 6162 6201 6678 7189 7742 7791 8374 9243 9646 9954 11466 11613 12402 12561 14378 14469 15582 18486 21567 23226 23373 25122 28938 29309 33761 34839 37683 43134 43407 46746 50323 54431 58618 64701 67522 69678 75366 86814 87927 100646 101283 108862 129402 150969 163293 175854 202566 205163 263781 301938 303849 326586 381017 410326 452907 489879 527562 607698 615489 762034 905814 979758 1143051 1230978 1846467 2286102 2667119 3429153 3692934 5334238 6858306 8001357 16002714 24004071 48008142