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1474450440 = 233597197643
BaseRepresentation
bin101011111100010…
…0101010000001000
310210202102211202120
41113320211100020
511004424403230
6402150331240
751352423221
oct12770452010
93722384676
101474450440
1169731a491
12351959b20
131a6617ba8
14ddb72248
158969e310
hex57e25408

1474450440 has 128 divisors (see below), whose sum is σ = 4498623360. Its totient is φ = 386555904.

The previous prime is 1474450381. The next prime is 1474450447. The reversal of 1474450440 is 440544741.

It is not an unprimeable number, because it can be changed into a prime (1474450447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292759 + ... + 2293401.

It is an arithmetic number, because the mean of its divisors is an integer number (35145495).

Almost surely, 21474450440 is an apocalyptic number.

1474450440 is a gapful number since it is divisible by the number (10) 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 1474450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249311680).

1474450440 is an abundant number, since it is smaller than the sum of its proper divisors (3024172920).

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

1474450440 is a wasteful number, since it uses less digits than its factorization.

1474450440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 33.

The square root of 1474450440 is about 38398.5734110006. The cubic root of 1474450440 is about 1138.1776671242.

The spelling of 1474450440 in words is "one billion, four hundred seventy-four million, four hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 197 291 388 394 485 582 591 643 776 788 970 985 1164 1182 1286 1455 1576 1929 1940 1970 2328 2364 2572 2910 2955 3215 3858 3880 3940 4728 5144 5820 5910 6430 7716 7880 9645 11640 11820 12860 15432 19109 19290 23640 25720 38218 38580 57327 62371 76436 77160 95545 114654 124742 126671 152872 187113 191090 229308 249484 253342 286635 311855 374226 380013 382180 458616 498968 506684 573270 623710 633355 748452 760026 764360 935565 1013368 1146540 1247420 1266710 1496904 1520052 1871130 1900065 2293080 2494840 2533420 3040104 3742260 3800130 5066840 7484520 7600260 12287087 15200520 24574174 36861261 49148348 61435435 73722522 98296696 122870870 147445044 184306305 245741740 294890088 368612610 491483480 737225220 1474450440