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3739934025 = 38521512
BaseRepresentation
bin1101111011101010…
…1101110101001001
3100122122100100000000
43132322231311021
530124410342100
61415035433213
7161451625512
oct33672556511
910578310000
103739934025
11164a105873
128845b5809
13477a96419
142769b7a09
1516d503900
hexdeeadd49

3739934025 has 81 divisors (see below), whose sum is σ = 7002294663. Its totient is φ = 1981422000.

The previous prime is 3739933979. The next prime is 3739934053. The reversal of 3739934025 is 5204399373.

The square root of 3739934025 is 61155.

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

It can be written as a sum of positive squares in only one way, i.e., 1346376249 + 2393557776 = 36693^2 + 48924^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 3739934025 - 215 = 3739901257 is a prime.

It is a super-2 number, since 2×37399340252 = 27974213022705401250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24767700 + ... + 24767850.

Almost surely, 23739934025 is an apocalyptic number.

3739934025 is the 61155-th square number.

3739934025 is the 30578-th centered octagonal number.

It is an amenable number.

3739934025 is a deficient number, since it is larger than the sum of its proper divisors (3262360638).

3739934025 is an frugal number, since it uses more digits than its factorization.

3739934025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The cubic root of 3739934025 is about 1552.2249039981.

The spelling of 3739934025 in words is "three billion, seven hundred thirty-nine million, nine hundred thirty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 151 225 243 405 453 675 729 755 1215 1359 2025 2187 2265 3645 3775 4077 6075 6561 6795 10935 11325 12231 18225 20385 22801 32805 33975 36693 54675 61155 68403 101925 110079 114005 164025 183465 205209 305775 330237 342015 550395 570025 615627 917325 990711 1026045 1651185 1710075 1846881 2751975 3078135 4953555 5130225 5540643 8255925 9234405 15390675 16621929 24767775 27703215 46172025 49865787 83109645 138516075 149597361 249328935 415548225 747986805 1246644675 3739934025