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3725333280 = 253253178161
BaseRepresentation
bin1101111000001100…
…0001001100100000
3100121121212112112200
43132003001030200
530112141131110
61413354453200
7161213544654
oct33603011440
910547775480
103725333280
111641943039
1287b734200
13474a53726
14274a96a64
1516c0bc6c0
hexde0c1320

3725333280 has 144 divisors (see below), whose sum is σ = 12754365624. Its totient is φ = 990167040.

The previous prime is 3725333203. The next prime is 3725333303. The reversal of 3725333280 is 823335273.

3725333280 is a `hidden beast` number, since 372 + 5 + 3 + 3 + 3 + 280 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1797420816 + 1927912464 = 42396^2 + 43908^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×37253332803 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452400 + ... + 460560.

Almost surely, 23725333280 is an apocalyptic number.

3725333280 is a gapful number since it is divisible by the number (30) 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 3725333280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377182812).

3725333280 is an abundant number, since it is smaller than the sum of its proper divisors (9029032344).

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

3725333280 is a wasteful number, since it uses less digits than its factorization.

3725333280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8499 (or 8488 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3725333280 is about 61035.5083537444. The cubic root of 3725333280 is about 1550.2023017254.

The spelling of 3725333280 in words is "three billion, seven hundred twenty-five million, three hundred thirty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 317 360 480 634 720 951 1268 1440 1585 1902 2536 2853 3170 3804 4755 5072 5706 6340 7608 8161 9510 10144 11412 12680 14265 15216 16322 19020 22824 24483 25360 28530 30432 32644 38040 40805 45648 48966 50720 57060 65288 73449 76080 81610 91296 97932 114120 122415 130576 146898 152160 163220 195864 228240 244830 261152 293796 326440 367245 391728 456480 489660 587592 652880 734490 783456 979320 1175184 1305760 1468980 1958640 2350368 2587037 2937960 3917280 5174074 5875920 7761111 10348148 11751840 12935185 15522222 20696296 23283333 25870370 31044444 38805555 41392592 46566666 51740740 62088888 77611110 82785184 93133332 103481480 116416665 124177776 155222220 186266664 206962960 232833330 248355552 310444440 372533328 413925920 465666660 620888880 745066656 931333320 1241777760 1862666640 3725333280