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48342480 = 2435712837
BaseRepresentation
bin1011100001101…
…0010111010000
310100222001102020
42320122113100
544333424410
64444051440
71124622114
oct270322720
9110861366
1048342480
112531946a
1214233b80
13a027b24
1465c5744
15439da70
hex2e1a5d0

48342480 has 80 divisors (see below), whose sum is σ = 152025984. Its totient is φ = 12705280.

The previous prime is 48342467. The next prime is 48342487. The reversal of 48342480 is 8424384.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48342487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15622 + ... + 18458.

Almost surely, 248342480 is an apocalyptic number.

48342480 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 48342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76012992).

48342480 is an abundant number, since it is smaller than the sum of its proper divisors (103683504).

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

48342480 is a wasteful number, since it uses less digits than its factorization.

48342480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 48342480 is about 6952.8756640688. The cubic root of 48342480 is about 364.2864146743.

The spelling of 48342480 in words is "forty-eight million, three hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2837 2840 3408 4260 5674 5680 8511 8520 11348 14185 17022 17040 22696 28370 34044 42555 45392 56740 68088 85110 113480 136176 170220 201427 226960 340440 402854 604281 680880 805708 1007135 1208562 1611416 2014270 2417124 3021405 3222832 4028540 4834248 6042810 8057080 9668496 12085620 16114160 24171240 48342480