Search a number
-
+
48092672 = 29294179
BaseRepresentation
bin1011011101110…
…1011000000000
310100111100202002
42313131120000
544302431142
64434443132
71122531605
oct267353000
9110440662
1048092672
1125168811
12141334a8
139c6b204
14655c6ac
15434ea32
hex2ddd600

48092672 has 80 divisors (see below), whose sum is σ = 103118400. Its totient is φ = 22364160.

The previous prime is 48092669. The next prime is 48092683. The reversal of 48092672 is 27629084.

It is a super-3 number, since 3×480926723 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608729 + ... + 608807.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 248092672 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 48092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

48092672 is an abundant number, since it is smaller than the sum of its proper divisors (55025728).

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

48092672 is an equidigital number, since it uses as much as digits as its factorization.

48092672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 48092672 is about 6934.8880308192. Note that the first 3 decimals coincide. The cubic root of 48092672 is about 363.6578518211.

The spelling of 48092672 in words is "forty-eight million, ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 79 82 116 128 158 164 232 256 316 328 464 512 632 656 928 1189 1264 1312 1856 2291 2378 2528 2624 3239 3712 4582 4756 5056 5248 6478 7424 9164 9512 10112 10496 12956 14848 18328 19024 20224 20992 25912 36656 38048 40448 51824 73312 76096 93931 103648 146624 152192 187862 207296 293248 304384 375724 414592 586496 608768 751448 829184 1172992 1502896 1658368 3005792 6011584 12023168 24046336 48092672