Search a number
-
+
45282390720 = 263576738451
BaseRepresentation
bin101010001011000010…
…100111001011000000
311022212210210210022020
4222023002213023000
51220214243000340
632445154441440
73162065653560
oct521302471300
9138783723266
1045282390720
1118227802406
128938b93280
134368584a48
142297d7ada0
1512a061e9d0
hexa8b0a72c0

45282390720 has 112 divisors (see below), whose sum is σ = 164310413568. Its totient is φ = 10350259200.

The previous prime is 45282390709. The next prime is 45282390733. The reversal of 45282390720 is 2709328254.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3362506 + ... + 3375945.

It is an arithmetic number, because the mean of its divisors is an integer number (1467057264).

Almost surely, 245282390720 is an apocalyptic number.

45282390720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45282390720 is an abundant number, since it is smaller than the sum of its proper divisors (119028022848).

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

45282390720 is a wasteful number, since it uses less digits than its factorization.

45282390720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738478 (or 6738468 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 45282390720 in words is "forty-five billion, two hundred eighty-two million, three hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 6738451 13476902 20215353 26953804 33692255 40430706 47169157 53907608 67384510 80861412 94338314 101076765 107815216 134769020 141507471 161722824 188676628 202153530 215630432 235845785 269538040 283014942 323445648 377353256 404307060 431260864 471691570 539076080 566029884 646891296 707537355 754706512 808614120 943383140 1078152160 1132059768 1293782592 1415074710 1509413024 1617228240 1886766280 2156304320 2264119536 2830149420 3018826048 3234456480 3773532560 4528239072 5660298840 6468912960 7547065120 9056478144 11320597680 15094130240 22641195360 45282390720