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52960480 = 2551911733
BaseRepresentation
bin1100101000000…
…1110011100000
310200122200010021
43022001303200
5102024213410
65131043224
71212104506
oct312016340
9120580107
1052960480
1127992aa1
12158a0514
13ac83a81
147068676
1549b1eda
hex3281ce0

52960480 has 48 divisors (see below), whose sum is σ = 125846784. Its totient is φ = 21061120.

The previous prime is 52960463. The next prime is 52960489. The reversal of 52960480 is 8406925.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52960489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29694 + ... + 31426.

It is an arithmetic number, because the mean of its divisors is an integer number (2621808).

Almost surely, 252960480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62923392).

52960480 is an abundant number, since it is smaller than the sum of its proper divisors (72886304).

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

52960480 is a wasteful number, since it uses less digits than its factorization.

52960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 52960480 is about 7277.3951383720. The cubic root of 52960480 is about 375.5351884248.

It can be divided in two parts, 529 and 60480, that added together give a square (61009 = 2472).

The spelling of 52960480 in words is "fifty-two million, nine hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1733 1910 3056 3466 3820 6112 6932 7640 8665 13864 15280 17330 27728 30560 34660 55456 69320 138640 277280 331003 662006 1324012 1655015 2648024 3310030 5296048 6620060 10592096 13240120 26480240 52960480