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48613488 = 24372111879
BaseRepresentation
bin1011100101110…
…0100001110000
310101110211011120
42321130201300
544421112423
64453542240
71130131200
oct271344160
9111424146
1048613488
1125494040
1214344980
13a0c12a1
146656400
154403ee3
hex2e5c870

48613488 has 120 divisors (see below), whose sum is σ = 159454080. Its totient is φ = 12620160.

The previous prime is 48613469. The next prime is 48613501. The reversal of 48613488 is 88431684.

It is a super-2 number, since 2×486134882 = 4726542431052288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24933 + ... + 26811.

It is an arithmetic number, because the mean of its divisors is an integer number (1328784).

Almost surely, 248613488 is an apocalyptic number.

48613488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48613488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79727040).

48613488 is an abundant number, since it is smaller than the sum of its proper divisors (110840592).

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

48613488 is a wasteful number, since it uses less digits than its factorization.

48613488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1902 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 48613488 is about 6972.3373412364. The cubic root of 48613488 is about 364.9658765873.

The spelling of 48613488 in words is "forty-eight million, six hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 1879 2156 2352 3234 3696 3758 4312 5637 6468 7516 8624 11274 12936 13153 15032 20669 22548 25872 26306 30064 39459 41338 45096 52612 62007 78918 82676 90192 92071 105224 124014 144683 157836 165352 184142 210448 248028 276213 289366 315672 330704 368284 434049 496056 552426 578732 631344 736568 868098 992112 1012781 1104852 1157464 1473136 1736196 2025562 2209704 2314928 3038343 3472392 4051124 4419408 6076686 6944784 8102248 12153372 16204496 24306744 48613488