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48665016 = 23331729457
BaseRepresentation
bin1011100110100…
…1000110111000
310101120102212000
42321221012320
544424240031
64455021000
71130434341
oct271510670
9111512760
1048665016
1125519824
121436a760
13a10b88a
14666b0c8
1544143e6
hex2e691b8

48665016 has 128 divisors (see below), whose sum is σ = 148392000. Its totient is φ = 14708736.

The previous prime is 48664961. The next prime is 48665017. The reversal of 48665016 is 61056684.

48665016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48665017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106260 + ... + 106716.

Almost surely, 248665016 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 48665016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74196000).

48665016 is an abundant number, since it is smaller than the sum of its proper divisors (99726984).

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

48665016 is a wasteful number, since it uses less digits than its factorization.

48665016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48665016 is about 6976.0315366260. The cubic root of 48665016 is about 365.0947799150.

The spelling of 48665016 in words is "forty-eight million, six hundred sixty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 29 34 36 51 54 58 68 72 87 102 108 116 136 153 174 204 216 232 261 306 348 408 457 459 493 522 612 696 783 914 918 986 1044 1224 1371 1479 1566 1828 1836 1972 2088 2742 2958 3132 3656 3672 3944 4113 4437 5484 5916 6264 7769 8226 8874 10968 11832 12339 13253 13311 15538 16452 17748 23307 24678 26506 26622 31076 32904 35496 39759 46614 49356 53012 53244 62152 69921 79518 93228 98712 106024 106488 119277 139842 159036 186456 209763 225301 238554 279684 318072 357831 419526 450602 477108 559368 675903 715662 839052 901204 954216 1351806 1431324 1678104 1802408 2027709 2703612 2862648 4055418 5407224 6083127 8110836 12166254 16221672 24332508 48665016