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48783360 = 21335397
BaseRepresentation
bin1011101000011…
…0000000000000
310101210110012010
42322012000000
544442031420
64501332520
71131436353
oct272060000
9111713163
1048783360
112559a72a
1214407140
13a1506c2
14669c29a
1544394e0
hex2e86000

48783360 has 112 divisors (see below), whose sum is σ = 156490416. Its totient is φ = 12976128.

The previous prime is 48783359. The next prime is 48783389. The reversal of 48783360 is 6338784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122682 + ... + 123078.

Almost surely, 248783360 is an apocalyptic number.

48783360 is a gapful number since it is divisible by the number (40) 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 48783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78245208).

48783360 is an abundant number, since it is smaller than the sum of its proper divisors (107707056).

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

48783360 is an equidigital number, since it uses as much as digits as its factorization.

48783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 48783360 is about 6984.5085725483. The cubic root of 48783360 is about 365.3904872073.

The spelling of 48783360 in words is "forty-eight million, seven hundred eighty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 397 480 512 640 768 794 960 1024 1191 1280 1536 1588 1920 1985 2048 2382 2560 3072 3176 3840 3970 4096 4764 5120 5955 6144 6352 7680 7940 8192 9528 10240 11910 12288 12704 15360 15880 19056 20480 23820 24576 25408 30720 31760 38112 40960 47640 50816 61440 63520 76224 95280 101632 122880 127040 152448 190560 203264 254080 304896 381120 406528 508160 609792 762240 813056 1016320 1219584 1524480 1626112 2032640 2439168 3048960 3252224 4065280 4878336 6097920 8130560 9756672 12195840 16261120 24391680 48783360