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48255360 = 273541613
BaseRepresentation
bin1011100000010…
…1000110000000
310100210121220120
42320011012000
544323132420
64442140240
71124110116
oct270050600
9110717816
1048255360
1125269a6a
12141b1680
139cc728a
1465a1ab6
154382d40
hex2e05180

48255360 has 128 divisors (see below), whose sum is σ = 157822560. Its totient is φ = 12533760.

The previous prime is 48255359. The next prime is 48255371. The reversal of 48255360 is 6355284.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78414 + ... + 79026.

Almost surely, 248255360 is an apocalyptic number.

48255360 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 48255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78911280).

48255360 is an abundant number, since it is smaller than the sum of its proper divisors (109567200).

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

48255360 is a wasteful number, since it uses less digits than its factorization.

48255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 48255360 is about 6946.6078052529. The cubic root of 48255360 is about 364.0674511720.

The spelling of 48255360 in words is "forty-eight million, two hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 613 615 640 656 820 960 984 1226 1230 1312 1640 1839 1920 1968 2452 2460 2624 3065 3280 3678 3936 4904 4920 5248 6130 6560 7356 7872 9195 9808 9840 12260 13120 14712 15744 18390 19616 19680 24520 25133 26240 29424 36780 39232 39360 49040 50266 58848 73560 75399 78464 78720 98080 100532 117696 125665 147120 150798 196160 201064 235392 251330 294240 301596 376995 392320 402128 502660 588480 603192 753990 804256 1005320 1176960 1206384 1507980 1608512 2010640 2412768 3015960 3217024 4021280 4825536 6031920 8042560 9651072 12063840 16085120 24127680 48255360