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48078744 = 2337476089
BaseRepresentation
bin1011011101100…
…1111110011000
310100110122122020
42313121332120
544302004434
64434254440
71122443160
oct267317630
9110418566
1048078744
11251592aa
1214127420
139c64a7c
1465575a0
15434a849
hex2dd9f98

48078744 has 64 divisors (see below), whose sum is σ = 140313600. Its totient is φ = 13442304.

The previous prime is 48078739. The next prime is 48078761. The reversal of 48078744 is 44787084.

It is a super-3 number, since 3×480787443 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 48078696 and 48078705.

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, 4852 + ... + 10940.

It is an arithmetic number, because the mean of its divisors is an integer number (2192400).

Almost surely, 248078744 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 48078744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70156800).

48078744 is an abundant number, since it is smaller than the sum of its proper divisors (92234856).

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

48078744 is a wasteful number, since it uses less digits than its factorization.

With its successor (48078745) it forms an eRAP, since the sums of their prime factors are consecutive (6152 and 6153).

48078744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 48078744 is about 6933.8837602025. The cubic root of 48078744 is about 363.6227424140.

The spelling of 48078744 in words is "forty-eight million, seventy-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 6089 7896 12178 18267 24356 36534 42623 48712 73068 85246 127869 146136 170492 255738 286183 340984 511476 572366 858549 1022952 1144732 1717098 2003281 2289464 3434196 4006562 6009843 6868392 8013124 12019686 16026248 24039372 48078744