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48158640 = 24325211317
BaseRepresentation
bin1011011110110…
…1011110110000
310100121201020100
42313231132300
544312034030
64440112400
71123225125
oct267553660
9110551210
1048158640
1125203332
1214165700
139c9224a
14657874c
154364360
hex2ded7b0

48158640 has 120 divisors (see below), whose sum is σ = 163011888. Its totient is φ = 12741120.

The previous prime is 48158633. The next prime is 48158659. The reversal of 48158640 is 4685184.

48158640 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 8 + 640 = 666.

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 = 48158595 and 48158604.

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, 151762 + ... + 152078.

Almost surely, 248158640 is an apocalyptic number.

48158640 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 48158640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81505944).

48158640 is an abundant number, since it is smaller than the sum of its proper divisors (114853248).

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

48158640 is a wasteful number, since it uses less digits than its factorization.

48158640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48158640 is about 6939.6426420962. The cubic root of 48158640 is about 363.8240505351.

The spelling of 48158640 in words is "forty-eight million, one hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 211 240 317 360 422 633 634 720 844 951 1055 1266 1268 1585 1688 1899 1902 2110 2532 2536 2853 3165 3170 3376 3798 3804 4220 4755 5064 5072 5706 6330 6340 7596 7608 8440 9495 9510 10128 11412 12660 12680 14265 15192 15216 16880 18990 19020 22824 25320 25360 28530 30384 37980 38040 45648 50640 57060 66887 75960 76080 114120 133774 151920 200661 228240 267548 334435 401322 535096 601983 668870 802644 1003305 1070192 1203966 1337740 1605288 2006610 2407932 2675480 3009915 3210576 4013220 4815864 5350960 6019830 8026440 9631728 12039660 16052880 24079320 48158640