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48020742 = 23371111549
BaseRepresentation
bin1011011100101…
…1110100000110
310100100201002000
42313023310012
544243130432
64433130130
71122112110
oct267136406
9110321060
1048020742
1125119770
12140b9946
139c44553
1465403b0
15433857c
hex2dcbd06

48020742 has 64 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 12471840.

The previous prime is 48020741. The next prime is 48020743. The reversal of 48020742 is 24702084.

It is an interprime number because it is at equal distance from previous prime (48020741) and next prime (48020743).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48020741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1617 + ... + 9932.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 248020742 is an apocalyptic number.

48020742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

48020742 is an abundant number, since it is smaller than the sum of its proper divisors (85035258).

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

48020742 is a wasteful number, since it uses less digits than its factorization.

48020742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11578 (or 11572 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 48020742 is about 6929.6999935062. The cubic root of 48020742 is about 363.4764592437.

It can be divided in two parts, 480207 and 42, that added together give a square (480249 = 6932).

The spelling of 48020742 in words is "forty-eight million, twenty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 11549 23098 34647 69294 80843 103941 127039 161686 207882 242529 254078 311823 381117 485058 623646 727587 762234 889273 1143351 1455174 1778546 2182761 2286702 2667819 3430053 4365522 5335638 6860106 8003457 16006914 24010371 48020742