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48958260 = 223513232729
BaseRepresentation
bin1011101011000…
…0101100110100
310102010100002220
42322300230310
5100013131020
64505202340
71133065311
oct272605464
9112110086
1048958260
11256aa07a
12144903b0
13a1b21b0
146705d08
154471240
hex2eb0b34

48958260 has 96 divisors (see below), whose sum is σ = 154103040. Its totient is φ = 11523072.

The previous prime is 48958241. The next prime is 48958291. The reversal of 48958260 is 6285984.

48958260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×489582602 = 4793822444455200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16576 + ... + 19304.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 248958260 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 48958260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

48958260 is an abundant number, since it is smaller than the sum of its proper divisors (105144780).

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

48958260 is a wasteful number, since it uses less digits than its factorization.

48958260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 48958260 is about 6997.0179362354. The cubic root of 48958260 is about 365.8266371176.

The spelling of 48958260 in words is "forty-eight million, nine hundred fifty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1196 1380 1495 1794 2729 2990 3588 4485 5458 5980 8187 8970 10916 13645 16374 17940 27290 32748 35477 40935 54580 62767 70954 81870 106431 125534 141908 163740 177385 188301 212862 251068 313835 354770 376602 425724 532155 627670 709540 753204 815971 941505 1064310 1255340 1631942 1883010 2128620 2447913 3263884 3766020 4079855 4895826 8159710 9791652 12239565 16319420 24479130 48958260