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48464080 = 2457372339
BaseRepresentation
bin1011100011100…
…0000011010000
310101012020012221
42320320003100
544401322310
64450430424
71125636460
oct270700320
9111166187
1048464080
11253a1865
1214292414
13a06b292
146617ba0
1543c4ada
hex2e380d0

48464080 has 80 divisors (see below), whose sum is σ = 132312960. Its totient is φ = 16160256.

The previous prime is 48464077. The next prime is 48464083. The reversal of 48464080 is 8046484.

It is an interprime number because it is at equal distance from previous prime (48464077) and next prime (48464083).

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 (48464083) 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, 19551 + ... + 21889.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 248464080 is an apocalyptic number.

48464080 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 48464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66156480).

48464080 is an abundant number, since it is smaller than the sum of its proper divisors (83848880).

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

48464080 is a wasteful number, since it uses less digits than its factorization.

48464080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 48464080 is about 6961.6147552130. The cubic root of 48464080 is about 364.5915992539.

The spelling of 48464080 in words is "forty-eight million, four hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2339 2590 2960 4144 4678 5180 9356 10360 11695 16373 18712 20720 23390 32746 37424 46780 65492 81865 86543 93560 130984 163730 173086 187120 261968 327460 346172 432715 605801 654920 692344 865430 1211602 1309840 1384688 1730860 2423204 3029005 3461720 4846408 6058010 6923440 9692816 12116020 24232040 48464080