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48141366 = 23713372383
BaseRepresentation
bin1011011110100…
…1010000110110
310100120211112120
42313221100312
544311010431
64435500410
71123123560
oct267512066
9110524476
1048141366
11251a1359
1214157706
139c87420
146572330
15435e196
hex2de9436

48141366 has 64 divisors (see below), whose sum is σ = 121755648. Its totient is φ = 12348288.

The previous prime is 48141349. The next prime is 48141377. The reversal of 48141366 is 66314184.

It is a super-2 number, since 2×481413662 = 4635182240691912, which contains 22 as substring.

It is a congruent number.

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, 19011 + ... + 21393.

It is an arithmetic number, because the mean of its divisors is an integer number (1902432).

Almost surely, 248141366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48141366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60877824).

48141366 is an abundant number, since it is smaller than the sum of its proper divisors (73614282).

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

48141366 is a wasteful number, since it uses less digits than its factorization.

48141366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445.

The product of its digits is 13824, while the sum is 33.

The square root of 48141366 is about 6938.3979418883. The cubic root of 48141366 is about 363.7805453737.

The spelling of 48141366 in words is "forty-eight million, one hundred forty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2383 2886 3367 4766 6734 7149 10101 14298 16681 20202 30979 33362 50043 61958 88171 92937 100086 176342 185874 216853 264513 433706 529026 617197 650559 1146223 1234394 1301118 1851591 2292446 3438669 3703182 6877338 8023561 16047122 24070683 48141366