Search a number
-
+
5457675360 = 253521153887
BaseRepresentation
bin1010001010100110…
…11000010001100000
3112002100120122010110
411011103120101200
542134131102420
62301320531320
7252150321654
oct50523302140
915070518113
105457675360
112350796305
121083920b40
1368c915007
1439ab9aa64
1521e20dee0
hex1454d8460

5457675360 has 96 divisors (see below), whose sum is σ = 17273475072. Its totient is φ = 1448455680.

The previous prime is 5457675259. The next prime is 5457675361. The reversal of 5457675360 is 635767545.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×54576753602 = 59572440670302259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5457675361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74337 + ... + 128223.

It is an arithmetic number, because the mean of its divisors is an integer number (179932032).

Almost surely, 25457675360 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 5457675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636737536).

5457675360 is an abundant number, since it is smaller than the sum of its proper divisors (11815799712).

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

5457675360 is a wasteful number, since it uses less digits than its factorization.

5457675360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54116 (or 54108 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 48.

The square root of 5457675360 is about 73876.0811088406. The cubic root of 5457675360 is about 1760.6346024214.

The spelling of 5457675360 in words is "five billion, four hundred fifty-seven million, six hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 211 240 422 480 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 16880 20256 25320 33760 50640 53887 101280 107774 161661 215548 269435 323322 431096 538870 646644 808305 862192 1077740 1293288 1616610 1724384 2155480 2586576 3233220 4310960 5173152 6466440 8621920 11370157 12932880 22740314 25865760 34110471 45480628 56850785 68220942 90961256 113701570 136441884 170552355 181922512 227403140 272883768 341104710 363845024 454806280 545767536 682209420 909612560 1091535072 1364418840 1819225120 2728837680 5457675360