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4545414240 = 253524139293
BaseRepresentation
bin1000011101110110…
…11000010001100000
3102201202222222010120
410032323120101200
533302111223430
62031012000240
7220432245363
oct41673302140
912652888116
104545414240
111a22849aa4
12a6a300080
13575917833
1431196c0da
151b90ae610
hex10eed8460

4545414240 has 96 divisors (see below), whose sum is σ = 14377831776. Its totient is φ = 1207050240.

The previous prime is 4545414199. The next prime is 4545414259. The reversal of 4545414240 is 424145454.

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

It is a super-2 number, since 2×45454142402 = 41321581226389555200, which contains 22 as substring.

It is a congruent number.

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, 96034 + ... + 135326.

It is an arithmetic number, because the mean of its divisors is an integer number (149769081).

Almost surely, 24545414240 is an apocalyptic number.

4545414240 is a gapful number since it is divisible by the number (40) 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 4545414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188915888).

4545414240 is an abundant number, since it is smaller than the sum of its proper divisors (9832417536).

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

4545414240 is a wasteful number, since it uses less digits than its factorization.

4545414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39552 (or 39544 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

The square root of 4545414240 is about 67419.6873324106. The cubic root of 4545414240 is about 1656.4989161618.

Adding to 4545414240 its reverse (424145454), we get a palindrome (4969559694).

The spelling of 4545414240 in words is "four billion, five hundred forty-five million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 241 480 482 723 964 1205 1446 1928 2410 2892 3615 3856 4820 5784 7230 7712 9640 11568 14460 19280 23136 28920 38560 39293 57840 78586 115680 117879 157172 196465 235758 314344 392930 471516 589395 628688 785860 943032 1178790 1257376 1571720 1886064 2357580 3143440 3772128 4715160 6286880 9430320 9469613 18860640 18939226 28408839 37878452 47348065 56817678 75756904 94696130 113635356 142044195 151513808 189392260 227270712 284088390 303027616 378784520 454541424 568176780 757569040 909082848 1136353560 1515138080 2272707120 4545414240