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48082832 = 2473741283
BaseRepresentation
bin1011011101101…
…0111110010000
310100110212020122
42313122332100
544302122312
64434325412
71122461120
oct267327620
9110425218
1048082832
1125161386
1214129868
139c668a5
146558c80
15434bb72
hex2ddaf90

48082832 has 80 divisors (see below), whose sum is σ = 112409472. Its totient is φ = 19491840.

The previous prime is 48082789. The next prime is 48082847. The reversal of 48082832 is 23828084.

It is a super-3 number, since 3×480828323 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48082792 and 48082801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169763 + ... + 170045.

Almost surely, 248082832 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 48082832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56204736).

48082832 is an abundant number, since it is smaller than the sum of its proper divisors (64326640).

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

48082832 is a wasteful number, since it uses less digits than its factorization.

48082832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 48082832 is about 6934.1785382264. The cubic root of 48082832 is about 363.6330480607.

The spelling of 48082832 in words is "forty-eight million, eighty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 41 56 74 82 112 148 164 259 283 287 296 328 518 566 574 592 656 1036 1132 1148 1517 1981 2072 2264 2296 3034 3962 4144 4528 4592 6068 7924 10471 10619 11603 12136 15848 20942 21238 23206 24272 31696 41884 42476 46412 73297 81221 83768 84952 92824 146594 162442 167536 169904 185648 293188 324884 429311 586376 649768 858622 1172752 1299536 1717244 3005177 3434488 6010354 6868976 12020708 24041416 48082832