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869414076 = 2232234324419
BaseRepresentation
bin110011110100100…
…011010010111100
32020120221210220100
4303310203102330
53240032222301
6222134321100
730354616626
oct6364432274
92216853810
10869414076
11406841733
122031b9190
1310b177acb
1483677c16
15514d9286
hex33d234bc

869414076 has 72 divisors (see below), whose sum is σ = 2346664320. Its totient is φ = 270746784.

The previous prime is 869414071. The next prime is 869414089. The reversal of 869414076 is 670414968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869414071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23395 + ... + 47813.

It is an arithmetic number, because the mean of its divisors is an integer number (32592560).

Almost surely, 2869414076 is an apocalyptic number.

869414076 is a gapful number since it is divisible by the number (86) 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 869414076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173332160).

869414076 is an abundant number, since it is smaller than the sum of its proper divisors (1477250244).

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

869414076 is a wasteful number, since it uses less digits than its factorization.

869414076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24495 (or 24490 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 869414076 is about 29485.8283926364. The cubic root of 869414076 is about 954.4259137475.

The spelling of 869414076 in words is "eight hundred sixty-nine million, four hundred fourteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 258 276 387 414 516 774 828 989 1548 1978 2967 3956 5934 8901 11868 17802 24419 35604 48838 73257 97676 146514 219771 293028 439542 561637 879084 1050017 1123274 1684911 2100034 2246548 3150051 3369822 4200068 5054733 6300102 6739644 9450153 10109466 12600204 18900306 20218932 24150391 37800612 48300782 72451173 96601564 144902346 217353519 289804692 434707038 869414076