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48687660 = 223257172273
BaseRepresentation
bin1011100110111…
…0101000101100
310101121120220200
42321232220230
544431001120
64455313500
71130560350
oct271565054
9111546820
1048687660
112553483a
121437b890
13a118c88
146675460
15441ae90
hex2e6ea2c

48687660 has 144 divisors (see below), whose sum is σ = 178790976. Its totient is φ = 10469376.

The previous prime is 48687659. The next prime is 48687679. The reversal of 48687660 is 6678684.

48687660 = T125 + T126 + ... + T664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20284 + ... + 22556.

It is an arithmetic number, because the mean of its divisors is an integer number (1241604).

Almost surely, 248687660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48687660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89395488).

48687660 is an abundant number, since it is smaller than the sum of its proper divisors (130103316).

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

48687660 is a wasteful number, since it uses less digits than its factorization.

48687660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 48687660 is about 6977.6543336568. The cubic root of 48687660 is about 365.1513977550.

The spelling of 48687660 in words is "forty-eight million, six hundred eighty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2273 2380 3060 3570 4284 4546 5355 6819 7140 9092 10710 11365 13638 15911 20457 21420 22730 27276 31822 34095 38641 40914 45460 47733 63644 68190 77282 79555 81828 95466 102285 115923 136380 143199 154564 159110 190932 193205 204570 231846 238665 270487 286398 318220 347769 386410 409140 463692 477330 540974 572796 579615 695538 715995 772820 811461 954660 1081948 1159230 1352435 1391076 1431990 1622922 1738845 2318460 2434383 2704870 2863980 3245844 3477690 4057305 4868766 5409740 6955380 8114610 9737532 12171915 16229220 24343830 48687660