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3742532420 = 22511412781
BaseRepresentation
bin1101111100010010…
…1000001101000100
3100122211020100022212
43133010220031010
530131042014140
61415211242552
7161513000144
oct33704501504
910584210285
103742532420
111650620000
12885449458
13478496033
14277092924
1516d868765
hexdf128344

3742532420 has 60 divisors (see below), whose sum is σ = 8645872620. Its totient is φ = 1360814400.

The previous prime is 3742532401. The next prime is 3742532449. The reversal of 3742532420 is 242352473.

It can be written as a sum of positive squares in 2 ways, for example, as 2069886016 + 1672646404 = 45496^2 + 40898^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 286430 + ... + 299210.

It is an arithmetic number, because the mean of its divisors is an integer number (144097877).

Almost surely, 23742532420 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 3742532420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322936310).

3742532420 is an abundant number, since it is smaller than the sum of its proper divisors (4903340200).

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

3742532420 is a wasteful number, since it uses less digits than its factorization.

3742532420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12834 (or 12799 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 3742532420 is about 61176.2406494548. The cubic root of 3742532420 is about 1552.5843006873.

Adding to 3742532420 its reverse (242352473), we get a palindrome (3984884893).

It can be divided in two parts, 374253 and 2420, that added together give a palindrome (376673).

The spelling of 3742532420 in words is "three billion, seven hundred forty-two million, five hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 5324 6655 12781 13310 14641 25562 26620 29282 51124 58564 63905 73205 127810 140591 146410 255620 281182 292820 562364 702955 1405910 1546501 2811820 3093002 6186004 7732505 15465010 17011511 30930020 34023022 68046044 85057555 170115110 187126621 340230220 374253242 748506484 935633105 1871266210 3742532420