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48727040 = 210531307
BaseRepresentation
bin1011100111100…
…0010000000000
310101200120221012
42321320100000
544433231130
64500220052
71131113225
oct271702000
9111616835
1048727040
112556138a
121439a628
13a130b8b
14668594c
154427995
hex2e78400

48727040 has 88 divisors (see below), whose sum is σ = 121051392. Its totient is φ = 18800640.

The previous prime is 48727037. The next prime is 48727123. The reversal of 48727040 is 4072784.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 48726988 and 48727006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158567 + ... + 158873.

It is an arithmetic number, because the mean of its divisors is an integer number (1375584).

Almost surely, 248727040 is an apocalyptic number.

48727040 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 48727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60525696).

48727040 is an abundant number, since it is smaller than the sum of its proper divisors (72324352).

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

48727040 is a wasteful number, since it uses less digits than its factorization.

48727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 48727040 is about 6980.4756284941. The cubic root of 48727040 is about 365.2498195925.

The spelling of 48727040 in words is "forty-eight million, seven hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 307 310 320 496 512 614 620 640 992 1024 1228 1240 1280 1535 1984 2456 2480 2560 3070 3968 4912 4960 5120 6140 7936 9517 9824 9920 12280 15872 19034 19648 19840 24560 31744 38068 39296 39680 47585 49120 76136 78592 79360 95170 98240 152272 157184 158720 190340 196480 304544 314368 380680 392960 609088 761360 785920 1218176 1522720 1571840 2436352 3045440 4872704 6090880 9745408 12181760 24363520 48727040