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48419520 = 2635311627
BaseRepresentation
bin1011100010110…
…1001011000000
310101002222002120
42320231023000
544343411040
64445444240
71125362532
oct270551300
9111088076
1048419520
1125371336
1214270680
13a053c06
146605852
1543b67d0
hex2e2d2c0

48419520 has 112 divisors (see below), whose sum is σ = 158788608. Its totient is φ = 12487680.

The previous prime is 48419507. The next prime is 48419521. The reversal of 48419520 is 2591484.

It is not an unprimeable number, because it can be changed into a prime (48419521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28947 + ... + 30573.

Almost surely, 248419520 is an apocalyptic number.

48419520 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 48419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79394304).

48419520 is an abundant number, since it is smaller than the sum of its proper divisors (110369088).

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

48419520 is a wasteful number, since it uses less digits than its factorization.

48419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 48419520 is about 6958.4136123114. The cubic root of 48419520 is about 364.4798244895.

The spelling of 48419520 in words is "forty-eight million, four hundred nineteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1627 1860 1984 2480 2976 3254 3720 4881 4960 5952 6508 7440 8135 9762 9920 13016 14880 16270 19524 24405 26032 29760 32540 39048 48810 50437 52064 65080 78096 97620 100874 104128 130160 151311 156192 195240 201748 252185 260320 302622 312384 390480 403496 504370 520640 605244 756555 780960 806992 1008740 1210488 1513110 1561920 1613984 2017480 2420976 3026220 3227968 4034960 4841952 6052440 8069920 9683904 12104880 16139840 24209760 48419520