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48714240 = 29356343
BaseRepresentation
bin1011100111010…
…1001000000000
310101122221101010
42321311020000
544432323430
64500040520
71131031011
oct271651000
9111587333
1048714240
1125552803
1214393140
13a1280c3
146681008
154423cb0
hex2e75200

48714240 has 80 divisors (see below), whose sum is σ = 155757888. Its totient is φ = 12988416.

The previous prime is 48714223. The next prime is 48714257. The reversal of 48714240 is 4241784.

It is an interprime number because it is at equal distance from previous prime (48714223) and next prime (48714257).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48714198 and 48714207.

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, 4509 + ... + 10851.

Almost surely, 248714240 is an apocalyptic number.

48714240 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 48714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77878944).

48714240 is an abundant number, since it is smaller than the sum of its proper divisors (107043648).

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

48714240 is an equidigital number, since it uses as much as digits as its factorization.

48714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 48714240 is about 6979.5587253063. The cubic root of 48714240 is about 365.2178345652.

The spelling of 48714240 in words is "forty-eight million, seven hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 6343 7680 12686 19029 25372 31715 38058 50744 63430 76116 95145 101488 126860 152232 190290 202976 253720 304464 380580 405952 507440 608928 761160 811904 1014880 1217856 1522320 1623808 2029760 2435712 3044640 3247616 4059520 4871424 6089280 8119040 9742848 12178560 16238080 24357120 48714240