Search a number
-
+
5462064960 = 263511517241
BaseRepresentation
bin1010001011001000…
…00111111101000000
3112002122211122112020
411011210013331000
542141242034320
62301555001440
7252232533432
oct50544077500
915078748466
105462064960
112353214280
121085299280
136907c1001
1439b5c0652
1521e7c9940
hex145907f40

5462064960 has 112 divisors (see below), whose sum is σ = 18918643392. Its totient is φ = 1324134400.

The previous prime is 5462064953. The next prime is 5462064961. The reversal of 5462064960 is 694602645.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462064961) 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, 248061 + ... + 269180.

Almost surely, 25462064960 is an apocalyptic number.

It is an amenable number.

5462064960 is an abundant number, since it is smaller than the sum of its proper divisors (13456578432).

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

5462064960 is a wasteful number, since it uses less digits than its factorization.

5462064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517272 (or 517262 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 5462064960 is about 73905.7843473703. The cubic root of 5462064960 is about 1761.1065011734.

The spelling of 5462064960 in words is "five billion, four hundred sixty-two million, sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 517241 1034482 1551723 2068964 2586205 3103446 4137928 5172410 5689651 6206892 7758615 8275856 10344820 11379302 12413784 15517230 16551712 17068953 20689640 22758604 24827568 28448255 31034460 33103424 34137906 41379280 45517208 49655136 56896510 62068920 68275812 82758560 85344765 91034416 99310272 113793020 124137840 136551624 165517120 170689530 182068832 227586040 248275680 273103248 341379060 364137664 455172080 496551360 546206496 682758120 910344160 1092412992 1365516240 1820688320 2731032480 5462064960