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48437480 = 23572131901
BaseRepresentation
bin1011100011000…
…1100011101000
310101010212201202
42320301203220
544344444410
64450103332
71125466100
oct270614350
9111125652
1048437480
1125383883
121427ab48
13a05c140
14660c200
1543bbca5
hex2e318e8

48437480 has 96 divisors (see below), whose sum is σ = 136601640. Its totient is φ = 15321600.

The previous prime is 48437447. The next prime is 48437503. The reversal of 48437480 is 8473484.

It can be written as a sum of positive squares in 4 ways, for example, as 18472804 + 29964676 = 4298^2 + 5474^2 .

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, 24530 + ... + 26430.

Almost surely, 248437480 is an apocalyptic number.

48437480 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 48437480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68300820).

48437480 is an abundant number, since it is smaller than the sum of its proper divisors (88164160).

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

48437480 is a wasteful number, since it uses less digits than its factorization.

48437480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 48437480 is about 6959.7040166950. The cubic root of 48437480 is about 364.5248837855.

The spelling of 48437480 in words is "forty-eight million, four hundred thirty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1901 1960 2548 3185 3640 3802 5096 6370 7604 9505 12740 13307 15208 19010 24713 25480 26614 38020 49426 53228 66535 76040 93149 98852 106456 123565 133070 172991 186298 197704 247130 266140 345982 372596 465745 494260 532280 691964 745192 864955 931490 988520 1210937 1383928 1729910 1862980 2421874 3459820 3725960 4843748 6054685 6919640 9687496 12109370 24218740 48437480