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48126072 = 2336171463
BaseRepresentation
bin1011011110010…
…1100001111000
310100120001120010
42313211201320
544310013242
64435301520
71123031151
oct267454170
9110501503
1048126072
1125190915
121414a8a0
139c80487
14656a928
15435989c
hex2de5878

48126072 has 64 divisors (see below), whose sum is σ = 124277760. Its totient is φ = 15523200.

The previous prime is 48126061. The next prime is 48126121. The reversal of 48126072 is 27062184.

It is a super-2 number, since 2×481260722 = 4632237612298368, which contains 22 as substring.

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, 103713 + ... + 104175.

It is an arithmetic number, because the mean of its divisors is an integer number (1941840).

Almost surely, 248126072 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 48126072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62138880).

48126072 is an abundant number, since it is smaller than the sum of its proper divisors (76151688).

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

48126072 is a wasteful number, since it uses less digits than its factorization.

48126072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 48126072 is about 6937.2957267223. The cubic root of 48126072 is about 363.7420182233.

The spelling of 48126072 in words is "forty-eight million, one hundred twenty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 61 71 122 142 183 213 244 284 366 426 463 488 568 732 852 926 1389 1464 1704 1852 2778 3704 4331 5556 8662 11112 12993 17324 25986 28243 32873 34648 51972 56486 65746 84729 98619 103944 112972 131492 169458 197238 225944 262984 338916 394476 677832 788952 2005253 4010506 6015759 8021012 12031518 16042024 24063036 48126072