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48187440 = 2433573187
BaseRepresentation
bin1011011111010…
…0100000110000
310100200011202000
42313310200300
544313444230
64440454000
71123405110
oct267644060
9110604660
1048187440
1125222a34
121417a300
139ca23a2
146585040
15436cb60
hex2df4830

48187440 has 160 divisors (see below), whose sum is σ = 189749760. Its totient is φ = 11010816.

The previous prime is 48187427. The next prime is 48187453. The reversal of 48187440 is 4478184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48187427) and next prime (48187453).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 48187395 and 48187404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13527 + ... + 16713.

It is an arithmetic number, because the mean of its divisors is an integer number (1185936).

Almost surely, 248187440 is an apocalyptic number.

48187440 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 48187440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94874880).

48187440 is an abundant number, since it is smaller than the sum of its proper divisors (141562320).

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

48187440 is a wasteful number, since it uses less digits than its factorization.

48187440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 48187440 is about 6941.7173667616. The cubic root of 48187440 is about 363.8965611972.

The spelling of 48187440 in words is "forty-eight million, one hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3187 3780 5040 6374 7560 9561 12748 15120 15935 19122 22309 25496 28683 31870 38244 44618 47805 50992 57366 63740 66927 76488 86049 89236 95610 111545 114732 127480 133854 143415 152976 172098 178472 191220 200781 223090 229464 254960 267708 286830 334635 344196 356944 382440 401562 430245 446180 458928 535416 573660 602343 669270 688392 764880 803124 860490 892360 1003905 1070832 1147320 1204686 1338540 1376784 1606248 1720980 1784720 2007810 2294640 2409372 2677080 3011715 3212496 3441960 4015620 4818744 5354160 6023430 6883920 8031240 9637488 12046860 16062480 24093720 48187440