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60643936 = 2531113541
BaseRepresentation
bin1110011101010…
…1101001100000
311020010000211201
43213111221200
5111011101221
610003450544
71334315323
oct347255140
9136100751
1060643936
1131260761
1218386a54
13c7440b2
1480a87ba
1554cd891
hex39d5a60

60643936 has 48 divisors (see below), whose sum is σ = 124564608. Its totient is φ = 29030400.

The previous prime is 60643931. The next prime is 60643949. The reversal of 60643936 is 63934606.

60643936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 60643895 and 60643904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60643931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111826 + ... + 112366.

It is an arithmetic number, because the mean of its divisors is an integer number (2595096).

Almost surely, 260643936 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 60643936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62282304).

60643936 is an abundant number, since it is smaller than the sum of its proper divisors (63920672).

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

60643936 is a wasteful number, since it uses less digits than its factorization.

60643936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 60643936 is about 7787.4216528964. The cubic root of 60643936 is about 392.8822969994.

It can be divided in two parts, 6064 and 3936, that added together give a 4-th power (10000 = 104).

The spelling of 60643936 in words is "sixty million, six hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 113 124 226 248 452 496 541 904 992 1082 1808 2164 3503 3616 4328 7006 8656 14012 16771 17312 28024 33542 56048 61133 67084 112096 122266 134168 244532 268336 489064 536672 978128 1895123 1956256 3790246 7580492 15160984 30321968 60643936