Search a number
-
+
469072608 = 253192291123
BaseRepresentation
bin11011111101010…
…111101011100000
31012200122100122120
4123331113223200
51430040310413
6114313504240
714424023424
oct3375275340
91180570576
10469072608
11220863214
12111112080
1376246c74
1446424b84
152b2a9723
hex1bf57ae0

469072608 has 96 divisors (see below), whose sum is σ = 1302940800. Its totient is φ = 147350016.

The previous prime is 469072607. The next prime is 469072613. The reversal of 469072608 is 806270964.

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

It is a super-2 number, since 2×4690726082 = 440058223151843328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 469072608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469072607) 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, 417135 + ... + 418257.

It is an arithmetic number, because the mean of its divisors is an integer number (13572300).

Almost surely, 2469072608 is an apocalyptic number.

469072608 is a gapful number since it is divisible by the number (48) 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 469072608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651470400).

469072608 is an abundant number, since it is smaller than the sum of its proper divisors (833868192).

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

469072608 is a wasteful number, since it uses less digits than its factorization.

469072608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 469072608 is about 21658.0841257947. The cubic root of 469072608 is about 776.9862932773.

The spelling of 469072608 in words is "four hundred sixty-nine million, seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 229 304 456 458 608 687 912 916 1123 1374 1824 1832 2246 2748 3369 3664 4351 4492 5496 6738 7328 8702 8984 10992 13053 13476 17404 17968 21337 21984 26106 26952 34808 35936 42674 52212 53904 64011 69616 85348 104424 107808 128022 139232 170696 208848 256044 257167 341392 417696 512088 514334 682784 771501 1024176 1028668 1543002 2048352 2057336 3086004 4114672 4886173 6172008 8229344 9772346 12344016 14658519 19544692 24688032 29317038 39089384 58634076 78178768 117268152 156357536 234536304 469072608