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48637440 = 293252111
BaseRepresentation
bin1011100110001…
…0011000000000
310101112001000200
42321202120000
544422344230
64454245200
71130261055
oct271423000
9111461020
1048637440
1125500035
1214356800
13a0cc167
14666102c
15440b160
hex2e62600

48637440 has 120 divisors (see below), whose sum is σ = 168524928. Its totient is φ = 12963840.

The previous prime is 48637427. The next prime is 48637441. The reversal of 48637440 is 4473684.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48637395 and 48637404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48637441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21985 + ... + 24095.

Almost surely, 248637440 is an apocalyptic number.

48637440 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 48637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84262464).

48637440 is an abundant number, since it is smaller than the sum of its proper divisors (119887488).

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

48637440 is a wasteful number, since it uses less digits than its factorization.

48637440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 48637440 is about 6974.0547746630. The cubic root of 48637440 is about 365.0258066447.

The spelling of 48637440 in words is "forty-eight million, six hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2111 2304 2560 2880 3840 4222 4608 5760 6333 7680 8444 10555 11520 12666 16888 18999 21110 23040 25332 31665 33776 37998 42220 50664 63330 67552 75996 84440 94995 101328 126660 135104 151992 168880 189990 202656 253320 270208 303984 337760 379980 405312 506640 540416 607968 675520 759960 810624 1013280 1080832 1215936 1351040 1519920 1621248 2026560 2431872 2702080 3039840 3242496 4053120 4863744 5404160 6079680 8106240 9727488 12159360 16212480 24318720 48637440