Search a number
-
+
3628455480 = 2333513258437
BaseRepresentation
bin1101100001000101…
…1101011000111000
3100100212120122012000
43120101131120320
524412341033410
61400014221000
7155626235256
oct33021353070
910325518160
103628455480
1115a2194341
128531b4760
1345a9640a0
14265c795d6
15163832dc0
hexd845d638

3628455480 has 128 divisors (see below), whose sum is σ = 13025275200. Its totient is φ = 893154816.

The previous prime is 3628455449. The next prime is 3628455487. The reversal of 3628455480 is 845548263.

3628455480 is a `hidden beast` number, since 3 + 62 + 8 + 45 + 548 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628455487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115179 + ... + 143258.

Almost surely, 23628455480 is an apocalyptic number.

3628455480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3628455480 is an abundant number, since it is smaller than the sum of its proper divisors (9396819720).

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

3628455480 is a wasteful number, since it uses less digits than its factorization.

3628455480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258470 (or 258460 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 3628455480 is about 60236.6622581298. The cubic root of 3628455480 is about 1536.6463649276.

The spelling of 3628455480 in words is "three billion, six hundred twenty-eight million, four hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 258437 516874 775311 1033748 1292185 1550622 2067496 2325933 2584370 3101244 3359681 3876555 4651866 5168740 6202488 6719362 6977799 7753110 9303732 10079043 10337480 11629665 13438724 13955598 15506220 16798405 18607464 20158086 23259330 26877448 27911196 30237129 31012440 33596810 34888995 40316172 46518660 50395215 55822392 60474258 67193620 69777990 80632344 90711387 93037320 100790430 120948516 134387240 139555980 151185645 181422774 201580860 241897032 279111960 302371290 362845548 403161720 453556935 604742580 725691096 907113870 1209485160 1814227740 3628455480