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48433140 = 2234574271
BaseRepresentation
bin1011100011000…
…0011111110100
310101010122210000
42320300133310
544344330030
64450031300
71125450330
oct270603764
9111118700
1048433140
1125380598
1214278530
13a05a182
14660a7c0
1543ba860
hex2e307f4

48433140 has 120 divisors (see below), whose sum is σ = 173682432. Its totient is φ = 11067840.

The previous prime is 48433123. The next prime is 48433141. The reversal of 48433140 is 4133484.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48433141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9205 + ... + 13475.

Almost surely, 248433140 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 48433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86841216).

48433140 is an abundant number, since it is smaller than the sum of its proper divisors (125249292).

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

48433140 is a wasteful number, since it uses less digits than its factorization.

48433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 48433140 is about 6959.3922148418. The cubic root of 48433140 is about 364.5139963126.

The spelling of 48433140 in words is "forty-eight million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 4271 5670 8542 11340 12813 17084 21355 25626 29897 38439 42710 51252 59794 64065 76878 85420 89691 115317 119588 128130 149485 153756 179382 192195 230634 256260 269073 298970 345951 358764 384390 448455 461268 538146 576585 597940 691902 768780 807219 896910 1076292 1153170 1345365 1383804 1614438 1729755 1793820 2306340 2421657 2690730 3228876 3459510 4036095 4843314 5381460 6919020 8072190 9686628 12108285 16144380 24216570 48433140