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3201749056 = 261126432
BaseRepresentation
bin1011111011010110…
…1101000001000000
322021010122201000101
42332311231001000
523024121432211
61245412332144
7142225263232
oct27665550100
98233581011
103201749056
1113a3338500
12754314054
133c043198c
14225322252
1513b1465c1
hexbed6d040

3201749056 has 63 divisors (see below), whose sum is σ = 6994444863. Its totient is φ = 1453077120.

The previous prime is 3201749041. The next prime is 3201749059. The reversal of 3201749056 is 6509471023.

The square root of 3201749056 is 56584.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×32017490562 = 20502394035193782272, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3201749059) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4979071 + ... + 4979713.

Almost surely, 23201749056 is an apocalyptic number.

3201749056 is the 56584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201749056

3201749056 is an abundant number, since it is smaller than the sum of its proper divisors (3792695807).

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

3201749056 is an frugal number, since it uses more digits than its factorization.

3201749056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The cubic root of 3201749056 is about 1473.8810329468.

It can be divided in two parts, 3201 and 749056, that added together give a palindrome (752257).

The spelling of 3201749056 in words is "three billion, two hundred one million, seven hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 643 704 968 1286 1936 2572 3872 5144 7073 7744 10288 14146 20576 28292 41152 56584 77803 113168 155606 226336 311212 413449 452672 622424 826898 1244848 1653796 2489696 3307592 4547939 4979392 6615184 9095878 13230368 18191756 26460736 36383512 50027329 72767024 100054658 145534048 200109316 291068096 400218632 800437264 1600874528 3201749056