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5454466240 = 265107241661
BaseRepresentation
bin1010001010001110…
…01000110011000000
3112002010112121001011
411011013020303000
542132320404430
62301124050304
7252111124636
oct50507106300
915063477034
105454466240
1123499a4243
121082833994
1368c060422
1439a5a3356
1521dcc822a
hex1451c8cc0

5454466240 has 112 divisors (see below), whose sum is σ = 13184148384. Its totient is φ = 2149171200.

The previous prime is 5454466163. The next prime is 5454466271. The reversal of 5454466240 is 426644545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5454466193 and 5454466202.

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, 8251510 + ... + 8252170.

Almost surely, 25454466240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5454466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592074192).

5454466240 is an abundant number, since it is smaller than the sum of its proper divisors (7729682144).

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

5454466240 is a wasteful number, since it uses less digits than its factorization.

5454466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The square root of 5454466240 is about 73854.3583006447. The cubic root of 5454466240 is about 1760.2894496397.

The spelling of 5454466240 in words is "five billion, four hundred fifty-four million, four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 241 320 428 482 535 661 856 964 1070 1205 1322 1712 1928 2140 2410 2644 3305 3424 3856 4280 4820 5288 6610 6848 7712 8560 9640 10576 13220 15424 17120 19280 21152 25787 26440 34240 38560 42304 51574 52880 70727 77120 103148 105760 128935 141454 159301 206296 211520 257870 282908 318602 353635 412592 515740 565816 637204 707270 796505 825184 1031480 1131632 1274408 1414540 1593010 1650368 2062960 2263264 2548816 2829080 3186020 4125920 4526528 5097632 5658160 6372040 8251840 10195264 11316320 12744080 17045207 22632640 25488160 34090414 50976320 68180828 85226035 136361656 170452070 272723312 340904140 545446624 681808280 1090893248 1363616560 2727233120 5454466240