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48436380 = 22345291031
BaseRepresentation
bin1011100011000…
…1010010011100
310101010211020000
42320301102130
544344431010
64450054300
71125462636
oct270612234
9111124200
1048436380
1125382a73
121427a390
13a05b7a5
14660ba56
1543bb7c0
hex2e3149c

48436380 has 120 divisors (see below), whose sum is σ = 157338720. Its totient is φ = 12458880.

The previous prime is 48436369. The next prime is 48436387. The reversal of 48436380 is 8363484.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48436387) 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, 46465 + ... + 47495.

It is an arithmetic number, because the mean of its divisors is an integer number (1311156).

Almost surely, 248436380 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 48436380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78669360).

48436380 is an abundant number, since it is smaller than the sum of its proper divisors (108902340).

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

48436380 is a wasteful number, since it uses less digits than its factorization.

48436380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48436380 is about 6959.6249898971. The cubic root of 48436380 is about 364.5221243493.

It can be divided in two parts, 484 and 36380, that added together give a square (36864 = 1922).

The spelling of 48436380 in words is "forty-eight million, four hundred thirty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1031 1044 1305 1566 1620 1740 2062 2349 2610 3093 3132 3915 4124 4698 5155 5220 6186 7830 9279 9396 10310 11745 12372 15465 15660 18558 20620 23490 27837 29899 30930 37116 46395 46980 55674 59798 61860 83511 89697 92790 111348 119596 139185 149495 167022 179394 185580 269091 278370 298990 334044 358788 417555 448485 538182 556740 597980 807273 835110 896970 1076364 1345455 1614546 1670220 1793940 2421819 2690910 3229092 4036365 4843638 5381820 8072730 9687276 12109095 16145460 24218190 48436380