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48135060 = 2234543691
BaseRepresentation
bin1011011110011…
…1101110010100
310100120111220000
42313213232110
544310310220
64435411300
71123066311
oct267475624
9110514800
1048135060
1125197646
1214153b30
139c845ac
14656dd08
15435c390
hex2de7b94

48135060 has 120 divisors (see below), whose sum is σ = 154736736. Its totient is φ = 12519360.

The previous prime is 48135053. The next prime is 48135083. The reversal of 48135060 is 6053184.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69315 + ... + 70005.

Almost surely, 248135060 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 48135060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77368368).

48135060 is an abundant number, since it is smaller than the sum of its proper divisors (106601676).

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

48135060 is a wasteful number, since it uses less digits than its factorization.

48135060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 48135060 is about 6937.9434993375. The cubic root of 48135060 is about 363.7646609034.

The spelling of 48135060 in words is "forty-eight million, one hundred thirty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 258 270 324 387 405 430 516 540 645 691 774 810 860 1161 1290 1382 1548 1620 1935 2073 2322 2580 2764 3455 3483 3870 4146 4644 5805 6219 6910 6966 7740 8292 10365 11610 12438 13820 13932 17415 18657 20730 23220 24876 29713 31095 34830 37314 41460 55971 59426 62190 69660 74628 89139 93285 111942 118852 124380 148565 178278 186570 223884 267417 279855 297130 356556 373140 445695 534834 559710 594260 802251 891390 1069668 1119420 1337085 1604502 1782780 2406753 2674170 3209004 4011255 4813506 5348340 8022510 9627012 12033765 16045020 24067530 48135060