Search a number
-
+
48755070 = 23257135953
BaseRepresentation
bin1011100111111…
…1000101111110
310101202000101100
42321333011332
544440130240
64500553530
71131261030
oct271770576
9111660340
1048755070
1125580451
12143b28a6
13a140870
146691c50
154430e30
hex2e7f17e

48755070 has 96 divisors (see below), whose sum is σ = 156042432. Its totient is φ = 10285056.

The previous prime is 48755059. The next prime is 48755089. The reversal of 48755070 is 7055784.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5214 + ... + 11166.

It is an arithmetic number, because the mean of its divisors is an integer number (1625442).

Almost surely, 248755070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48755070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78021216).

48755070 is an abundant number, since it is smaller than the sum of its proper divisors (107287362).

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

48755070 is a wasteful number, since it uses less digits than its factorization.

48755070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 48755070 is about 6982.4830826863. The cubic root of 48755070 is about 365.3198422463.

The spelling of 48755070 in words is "forty-eight million, seven hundred fifty-five thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 5953 8190 11906 17859 29765 35718 41671 53577 59530 77389 83342 89295 107154 125013 154778 178590 208355 232167 250026 267885 375039 386945 416710 464334 535770 541723 625065 696501 750078 773890 1083446 1160835 1250130 1393002 1625169 1875195 2321670 2708615 3250338 3482505 3750390 4875507 5417230 6965010 8125845 9751014 16251690 24377535 48755070