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48975660 = 223253167131
BaseRepresentation
bin1011101011010…
…0111100101100
310102011012222100
42322310330230
5100014210120
64505415100
71133200116
oct272647454
9112135870
1048975660
1125711158
121449a490
13a1ba0a6
14670c3b6
154476490
hex2eb4f2c

48975660 has 144 divisors (see below), whose sum is σ = 156828672. Its totient is φ = 12355200.

The previous prime is 48975659. The next prime is 48975683. The reversal of 48975660 is 6657984.

48975660 is a `hidden beast` number, since 4 + 89 + 7 + 566 + 0 = 666.

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, 373795 + ... + 373925.

It is an arithmetic number, because the mean of its divisors is an integer number (1089088).

Almost surely, 248975660 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 48975660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78414336).

48975660 is an abundant number, since it is smaller than the sum of its proper divisors (107853012).

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

48975660 is a wasteful number, since it uses less digits than its factorization.

48975660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 48975660 is about 6998.2612126156. The cubic root of 48975660 is about 365.8699708304.

The spelling of 48975660 in words is "forty-eight million, nine hundred seventy-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 67 90 93 124 131 134 155 180 186 201 262 268 279 310 335 372 393 402 465 524 558 603 620 655 670 786 804 930 1005 1116 1179 1206 1310 1340 1395 1572 1860 1965 2010 2077 2358 2412 2620 2790 3015 3930 4020 4061 4154 4716 5580 5895 6030 6231 7860 8122 8308 8777 10385 11790 12060 12183 12462 16244 17554 18693 20305 20770 23580 24366 24924 26331 31155 35108 36549 37386 40610 41540 43885 48732 52662 60915 62310 73098 74772 78993 81220 87770 93465 105324 121830 124620 131655 146196 157986 175540 182745 186930 243660 263310 272087 315972 365490 373860 394965 526620 544174 730980 789930 816261 1088348 1360435 1579860 1632522 2448783 2720870 3265044 4081305 4897566 5441740 8162610 9795132 12243915 16325220 24487830 48975660