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48808640 = 2651271201
BaseRepresentation
bin1011101000110…
…0001011000000
310101211201212102
42322030023000
544443334030
64502045532
71131603146
oct272141300
9111751772
1048808640
1125607721
12144198a8
13a15c06a
1466a7596
154441c45
hex2e8c2c0

48808640 has 56 divisors (see below), whose sum is σ = 117238272. Its totient is φ = 19353600.

The previous prime is 48808637. The next prime is 48808657. The reversal of 48808640 is 4680884.

It is a junction number, because it is equal to n+sod(n) for n = 48808594 and 48808603.

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, 40040 + ... + 41240.

Almost surely, 248808640 is an apocalyptic number.

48808640 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 48808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58619136).

48808640 is an abundant number, since it is smaller than the sum of its proper divisors (68429632).

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

48808640 is a wasteful number, since it uses less digits than its factorization.

48808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 48808640 is about 6986.3180574606. The cubic root of 48808640 is about 365.4535925804.

The spelling of 48808640 in words is "forty-eight million, eight hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 1016 1201 1270 2032 2402 2540 4064 4804 5080 6005 8128 9608 10160 12010 19216 20320 24020 38432 40640 48040 76864 96080 152527 192160 305054 384320 610108 762635 1220216 1525270 2440432 3050540 4880864 6101080 9761728 12202160 24404320 48808640