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48102984 = 2334193907
BaseRepresentation
bin1011011101111…
…1111001001000
310100111212220000
42313133321020
544303243414
64435003000
71122603636
oct267377110
9110455800
1048102984
1125175536
1214139460
139c72b07
146562356
154352b09
hex2ddfe48

48102984 has 80 divisors (see below), whose sum is σ = 141860400. Its totient is φ = 15186528.

The previous prime is 48102983. The next prime is 48102991. The reversal of 48102984 is 48920184.

It is a super-3 number, since 3×481029843 (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48102983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10359 + ... + 14265.

It is an arithmetic number, because the mean of its divisors is an integer number (1773255).

Almost surely, 248102984 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 48102984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70930200).

48102984 is an abundant number, since it is smaller than the sum of its proper divisors (93757416).

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

48102984 is a wasteful number, since it uses less digits than its factorization.

48102984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 48102984 is about 6935.6314780992. The cubic root of 48102984 is about 363.6838417250.

The spelling of 48102984 in words is "forty-eight million, one hundred two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 3907 4104 6156 7814 11721 12312 15628 23442 31256 35163 46884 70326 74233 93768 105489 140652 148466 210978 222699 281304 296932 316467 421956 445398 593864 632934 668097 843912 890796 1265868 1336194 1781592 2004291 2531736 2672388 4008582 5344776 6012873 8017164 12025746 16034328 24051492 48102984