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48392448 = 2831337131
BaseRepresentation
bin1011100010011…
…0100100000000
310101001120221220
42320212210000
544342024243
64445115040
71125220566
oct270464400
9111046856
1048392448
1125352a65
1214258a80
13a0447b0
1465d9a36
1543ad783
hex2e26900

48392448 has 144 divisors (see below), whose sum is σ = 143537856. Its totient is φ = 14376960.

The previous prime is 48392441. The next prime is 48392467. The reversal of 48392448 is 84429384.

It is not an unprimeable number, because it can be changed into a prime (48392441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369343 + ... + 369473.

Almost surely, 248392448 is an apocalyptic number.

48392448 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 48392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71768928).

48392448 is an abundant number, since it is smaller than the sum of its proper divisors (95145408).

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

48392448 is a wasteful number, since it uses less digits than its factorization.

48392448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 48392448 is about 6956.4680693582. The cubic root of 48392448 is about 364.4118833139.

The spelling of 48392448 in words is "forty-eight million, three hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 131 148 156 192 208 222 256 262 296 312 384 393 416 444 481 524 592 624 768 786 832 888 962 1048 1184 1248 1443 1572 1664 1703 1776 1924 2096 2368 2496 2886 3144 3328 3406 3552 3848 4192 4736 4847 4992 5109 5772 6288 6812 7104 7696 8384 9472 9694 9984 10218 11544 12576 13624 14208 14541 15392 16768 19388 20436 23088 25152 27248 28416 29082 30784 33536 38776 40872 46176 50304 54496 58164 61568 63011 77552 81744 92352 100608 108992 116328 123136 126022 155104 163488 184704 189033 217984 232656 252044 310208 326976 369408 378066 435968 465312 504088 620416 653952 756132 930624 1008176 1240832 1307904 1512264 1861248 2016352 3024528 3722496 4032704 6049056 8065408 12098112 16130816 24196224 48392448