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869420544 = 29319313
BaseRepresentation
bin110011110100100…
…100111000000000
32020120222010202220
4303310210320000
53240032424134
6222134411040
730354644526
oct6364447000
92216863686
10869420544
11406846583
12203200a80
1310b17aa35
148367a316
15514db149
hex33d24e00

869420544 has 160 divisors (see below), whose sum is σ = 2519362560. Its totient is φ = 265697280.

The previous prime is 869420543. The next prime is 869420549. The reversal of 869420544 is 445024968.

869420544 = T9557 + T9558 + ... + T9575.

It is a junction number, because it is equal to n+sod(n) for n = 869420496 and 869420505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869420543) 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, 28045809 + ... + 28045839.

It is an arithmetic number, because the mean of its divisors is an integer number (15746016).

Almost surely, 2869420544 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 869420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259681280).

869420544 is an abundant number, since it is smaller than the sum of its proper divisors (1649942016).

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

869420544 is an frugal number, since it uses more digits than its factorization.

869420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 869420544 is about 29485.9380722405. The cubic root of 869420544 is about 954.4282805566.

The spelling of 869420544 in words is "eight hundred sixty-nine million, four hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 256 304 372 384 456 496 512 589 608 744 768 912 961 992 1178 1216 1488 1536 1767 1824 1922 1984 2356 2432 2883 2976 3534 3648 3844 3968 4712 4864 5766 5952 7068 7296 7688 7936 9424 9728 11532 11904 14136 14592 15376 15872 18259 18848 23064 23808 28272 29184 29791 30752 36518 37696 46128 47616 54777 56544 59582 61504 73036 75392 89373 92256 109554 113088 119164 123008 146072 150784 178746 184512 219108 226176 238328 246016 292144 301568 357492 369024 438216 452352 476656 492032 566029 584288 714984 738048 876432 904704 953312 1132058 1168576 1429968 1476096 1698087 1752864 1906624 2264116 2337152 2859936 3396174 3505728 3813248 4528232 4674304 5719872 6792348 7011456 7626496 9056464 9348608 11439744 13584696 14022912 15252992 18112928 22879488 27169392 28045824 36225856 45758976 54338784 72451712 108677568 144903424 217355136 289806848 434710272 869420544