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48575376 = 2434371013
BaseRepresentation
bin1011100101001…
…1001110010000
310101101212220000
42321103032100
544413403001
64453050000
71126612113
oct271231620
9111355800
1048575376
1125468443
1214326900
13a0a9b35
14664657a
1543e7a86
hex2e53390

48575376 has 100 divisors (see below), whose sum is σ = 144533532. Its totient is φ = 15738624.

The previous prime is 48575353. The next prime is 48575383. The reversal of 48575376 is 67357584.

48575376 is a `hidden beast` number, since 4 + 8 + 575 + 3 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17438976 + 31136400 = 4176^2 + 5580^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47446 + ... + 48458.

Almost surely, 248575376 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 48575376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72266766).

48575376 is an abundant number, since it is smaller than the sum of its proper divisors (95958156).

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

48575376 is a wasteful number, since it uses less digits than its factorization.

48575376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 48575376 is about 6969.6037190073. The cubic root of 48575376 is about 364.8704763421.

The spelling of 48575376 in words is "forty-eight million, five hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1013 1296 1332 1776 1998 2026 2664 2997 3039 3996 4052 5328 5994 6078 7992 8104 9117 11988 12156 15984 16208 18234 23976 24312 27351 36468 37481 47952 48624 54702 72936 74962 82053 109404 112443 145872 149924 164106 218808 224886 299848 328212 337329 437616 449772 599696 656424 674658 899544 1011987 1312848 1349316 1799088 2023974 2698632 3035961 4047948 5397264 6071922 8095896 12143844 16191792 24287688 48575376