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669623976 = 233371074139
BaseRepresentation
bin100111111010011…
…010011010101000
31201200000102102000
4213322122122220
52332410431401
6150240211000
722410465330
oct4772323250
91650012360
10669623976
11313a9244a
12168309a60
13a8965208
1464d0c0c0
153dbc2186
hex27e9a6a8

669623976 has 128 divisors (see below), whose sum is σ = 2146176000. Its totient is φ = 189487296.

The previous prime is 669623971. The next prime is 669623989. The reversal of 669623976 is 679326966.

It is a happy number.

669623976 is a `hidden beast` number, since 6 + 6 + 9 + 623 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (669623971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159715 + ... + 163853.

It is an arithmetic number, because the mean of its divisors is an integer number (16767000).

Almost surely, 2669623976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669623976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073088000).

669623976 is an abundant number, since it is smaller than the sum of its proper divisors (1476552024).

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

669623976 is a wasteful number, since it uses less digits than its factorization.

669623976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4258 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 669623976 is about 25877.0936544273. The cubic root of 669623976 is about 874.8702832469.

The spelling of 669623976 in words is "six hundred sixty-nine million, six hundred twenty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 107 108 126 168 189 214 216 252 321 378 428 504 642 749 756 856 963 1284 1498 1512 1926 2247 2568 2889 2996 3852 4139 4494 5778 5992 6741 7704 8278 8988 11556 12417 13482 16556 17976 20223 23112 24834 26964 28973 33112 37251 40446 49668 53928 57946 74502 80892 86919 99336 111753 115892 149004 161784 173838 223506 231784 260757 298008 347676 442873 447012 521514 695352 782271 885746 894024 1043028 1328619 1564542 1771492 2086056 2657238 3100111 3129084 3542984 3985857 5314476 6200222 6258168 7971714 9300333 10628952 11957571 12400444 15943428 18600666 23915142 24800888 27900999 31886856 37201332 47830284 55801998 74402664 83702997 95660568 111603996 167405994 223207992 334811988 669623976