Search a number
-
+
5497124940 = 223457942953
BaseRepresentation
bin1010001111010011…
…10111100001001100
3112012002210212210000
411013221313201030
542224230444230
62305250244300
7253136535216
oct50751674114
915162725700
105497124940
112370a9036a
121094b86690
13697b48168
143a21095b6
15222902b60
hex147a7784c

5497124940 has 120 divisors (see below), whose sum is σ = 17463378240. Its totient is φ = 1447310592.

The previous prime is 5497124923. The next prime is 5497124953. The reversal of 5497124940 is 494217945.

5497124940 is a `hidden beast` number, since 549 + 7 + 12 + 4 + 94 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106504 + ... + 149456.

It is an arithmetic number, because the mean of its divisors is an integer number (145528152).

Almost surely, 25497124940 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 5497124940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731689120).

5497124940 is an abundant number, since it is smaller than the sum of its proper divisors (11966253300).

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

5497124940 is a wasteful number, since it uses less digits than its factorization.

5497124940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43053 (or 43042 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5497124940 is about 74142.5986865850. The cubic root of 5497124940 is about 1764.8665394088.

The spelling of 5497124940 in words is "five billion, four hundred ninety-seven million, one hundred twenty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 270 316 324 395 405 474 540 711 790 810 948 1185 1422 1580 1620 2133 2370 2844 3555 4266 4740 6399 7110 8532 10665 12798 14220 21330 25596 31995 42660 42953 63990 85906 127980 128859 171812 214765 257718 386577 429530 515436 644295 773154 859060 1159731 1288590 1546308 1932885 2319462 2577180 3393287 3479193 3865770 4638924 5798655 6786574 6958386 7731540 10179861 11597310 13573148 13916772 16966435 17395965 20359722 23194620 30539583 33932870 34791930 40719444 50899305 61079166 67865740 69583860 91618749 101798610 122158332 152697915 183237498 203597220 274856247 305395830 366474996 458093745 549712494 610791660 916187490 1099424988 1374281235 1832374980 2748562470 5497124940