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48432240 = 24325137491
BaseRepresentation
bin1011100011000…
…0010001110000
310101010121112200
42320300101300
544344312430
64450023200
71125444603
oct270602160
9111117480
1048432240
112537a94a
1214277b00
13a05993c
14660a33a
1543ba460
hex2e30470

48432240 has 120 divisors (see below), whose sum is σ = 164172528. Its totient is φ = 12794880.

The previous prime is 48432229. The next prime is 48432247. The reversal of 48432240 is 4223484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48432247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98395 + ... + 98885.

Almost surely, 248432240 is an apocalyptic number.

48432240 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 48432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82086264).

48432240 is an abundant number, since it is smaller than the sum of its proper divisors (115740288).

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

48432240 is a wasteful number, since it uses less digits than its factorization.

48432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 48432240 is about 6959.3275537224. The cubic root of 48432240 is about 364.5117384603.

The spelling of 48432240 in words is "forty-eight million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 137 144 180 240 274 360 411 491 548 685 720 822 982 1096 1233 1370 1473 1644 1964 2055 2192 2455 2466 2740 2946 3288 3928 4110 4419 4910 4932 5480 5892 6165 6576 7365 7856 8220 8838 9820 9864 10960 11784 12330 14730 16440 17676 19640 19728 22095 23568 24660 29460 32880 35352 39280 44190 49320 58920 67267 70704 88380 98640 117840 134534 176760 201801 269068 336335 353520 403602 538136 605403 672670 807204 1009005 1076272 1210806 1345340 1614408 2018010 2421612 2690680 3027015 3228816 4036020 4843224 5381360 6054030 8072040 9686448 12108060 16144080 24216120 48432240