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3973451072 = 261733710837
BaseRepresentation
bin1110110011010110…
…0000110101000000
3101020220202020011112
43230311200311000
531114200413242
61454140502452
7200315530313
oct35465406500
911226666145
103973451072
111759a00668
1292a84aa28
134b42874a6
14299a0297a
15183c7dc82
hexecd60d40

3973451072 has 56 divisors (see below), whose sum is σ = 8374175784. Its totient is φ = 1864138752.

The previous prime is 3973451063. The next prime is 3973451107. The reversal of 3973451072 is 2701543793.

It can be written as a sum of positive squares in 4 ways, for example, as 278756416 + 3694694656 = 16696^2 + 60784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361238 + ... + 372074.

Almost surely, 23973451072 is an apocalyptic number.

3973451072 is a gapful number since it is divisible by the number (32) 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 3973451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187087892).

3973451072 is an abundant number, since it is smaller than the sum of its proper divisors (4400724712).

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

3973451072 is a wasteful number, since it uses less digits than its factorization.

3973451072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11203 (or 11193 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 3973451072 is about 63035.3160696446. The cubic root of 3973451072 is about 1583.8812702219.

The spelling of 3973451072 in words is "three billion, nine hundred seventy-three million, four hundred fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 337 544 674 1088 1348 2696 5392 5729 10784 10837 11458 21568 21674 22916 43348 45832 86696 91664 173392 183328 184229 346784 366656 368458 693568 736916 1473832 2947664 3652069 5895328 7304138 11790656 14608276 29216552 58433104 62085173 116866208 124170346 233732416 248340692 496681384 993362768 1986725536 3973451072