Search a number
-
+
69742464 = 2731121979
BaseRepresentation
bin1000010100000…
…10111110000000
311212020021200020
410022002332000
5120323224324
610530453440
71504541541
oct412027600
9155207606
1069742464
1136405600
121b434280
13115ab53c
1493964c8
1561c9679
hex4282f80

69742464 has 192 divisors, whose sum is σ = 217056000. Its totient is φ = 19768320.

The previous prime is 69742441. The next prime is 69742471. The reversal of 69742464 is 46424796.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×697424642 = 9728022569582592, 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 23 ways as a sum of consecutive naturals, for example, 882777 + ... + 882855.

It is an arithmetic number, because the mean of its divisors is an integer number (1130500).

Almost surely, 269742464 is an apocalyptic number.

69742464 is a gapful number since it is divisible by the number (64) 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 69742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108528000).

69742464 is an abundant number, since it is smaller than the sum of its proper divisors (147313536).

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

69742464 is a wasteful number, since it uses less digits than its factorization.

69742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 69742464 is about 8351.1953635393. The cubic root of 69742464 is about 411.6224901555.

The spelling of 69742464 in words is "sixty-nine million, seven hundred forty-two thousand, four hundred sixty-four".