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3625003264 = 28532712
BaseRepresentation
bin1101100000010001…
…0010100100000000
3100100122002020122011
43120010102210000
524411000101024
61355412222304
7155555006431
oct33004224400
910318066564
103625003264
1115a0246673
1285200a994
1345a02595c
1426561b488
151633a0094
hexd8112900

3625003264 has 81 divisors (see below), whose sum is σ = 7480283209. Its totient is φ = 1753256960.

The previous prime is 3625003241. The next prime is 3625003271. The reversal of 3625003264 is 4623005263.

It is a happy number.

The square root of 3625003264 is 60208.

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., 2613254400 + 1011748864 = 51120^2 + 31808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51056349 + ... + 51056419.

Almost surely, 23625003264 is an apocalyptic number.

3625003264 is the 60208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625003264

3625003264 is an abundant number, since it is smaller than the sum of its proper divisors (3855279945).

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

3625003264 is an frugal number, since it uses more digits than its factorization.

3625003264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The cubic root of 3625003264 is about 1536.1588739022.

The spelling of 3625003264 in words is "three billion, six hundred twenty-five million, three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 71 106 128 142 212 256 284 424 568 848 1136 1696 2272 2809 3392 3763 4544 5041 5618 6784 7526 9088 10082 11236 13568 15052 18176 20164 22472 30104 40328 44944 60208 80656 89888 120416 161312 179776 199439 240832 267173 322624 359552 398878 481664 534346 645248 719104 797756 963328 1068692 1290496 1595512 2137384 3191024 4274768 6382048 8549536 12764096 14160169 17099072 25528192 28320338 34198144 51056384 56640676 68396288 113281352 226562704 453125408 906250816 1812501632 3625003264