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78009912 = 23333743227
BaseRepresentation
bin1001010011001…
…01011000111000
312102210022111000
410221211120320
5124432304122
611424005000
71635034101
oct451453070
9172708430
1078009912
1140042002
1222160760
1313214616
14a5093a8
156cae0ac
hex4a65638

78009912 has 128 divisors (see below), whose sum is σ = 228729600. Its totient is φ = 24603264.

The previous prime is 78009881. The next prime is 78009931. The reversal of 78009912 is 21990087.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343543 + ... + 343769.

It is an arithmetic number, because the mean of its divisors is an integer number (1786950).

Almost surely, 278009912 is an apocalyptic number.

78009912 is a gapful number since it is divisible by the number (72) 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 78009912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114364800).

78009912 is an abundant number, since it is smaller than the sum of its proper divisors (150719688).

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

78009912 is a wasteful number, since it uses less digits than its factorization.

78009912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 78009912 is about 8832.3220049996. The cubic root of 78009912 is about 427.2839659472.

Adding to 78009912 its reverse (21990087), we get a palindrome (99999999).

The spelling of 78009912 in words is "seventy-eight million, nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 43 54 72 74 86 108 111 129 148 172 216 222 227 258 296 333 344 387 444 454 516 666 681 774 888 908 999 1032 1161 1332 1362 1548 1591 1816 1998 2043 2322 2664 2724 3096 3182 3996 4086 4644 4773 5448 6129 6364 7992 8172 8399 9288 9546 9761 12258 12728 14319 16344 16798 19092 19522 24516 25197 28638 29283 33596 38184 39044 42957 49032 50394 57276 58566 67192 75591 78088 85914 87849 100788 114552 117132 151182 171828 175698 201576 226773 234264 263547 302364 343656 351396 361157 453546 527094 604728 702792 722314 907092 1054188 1083471 1444628 1814184 2108376 2166942 2889256 3250413 4333884 6500826 8667768 9751239 13001652 19502478 26003304 39004956 78009912