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78649344 = 2113217251
BaseRepresentation
bin1001011000000…
…01100000000000
312110222210121200
410230001200000
5130113234334
611445421200
71643336244
oct454014000
9173883550
1078649344
1140439464
122240a800
13133a9697
14a634424
156d88799
hex4b01800

78649344 has 144 divisors (see below), whose sum is σ = 241473960. Its totient is φ = 24576000.

The previous prime is 78649339. The next prime is 78649367. The reversal of 78649344 is 44394687.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 78649344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313219 + ... + 313469.

Almost surely, 278649344 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 78649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120736980).

78649344 is an abundant number, since it is smaller than the sum of its proper divisors (162824616).

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

78649344 is a wasteful number, since it uses less digits than its factorization.

78649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 78649344 is about 8868.4465381486. The cubic root of 78649344 is about 428.4482449779.

The spelling of 78649344 in words is "seventy-eight million, six hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 251 256 272 288 306 384 408 502 512 544 576 612 753 768 816 1004 1024 1088 1152 1224 1506 1536 1632 2008 2048 2176 2259 2304 2448 3012 3072 3264 4016 4267 4352 4518 4608 4896 6024 6144 6528 8032 8534 8704 9036 9216 9792 12048 12801 13056 16064 17068 17408 18072 18432 19584 24096 25602 26112 32128 34136 34816 36144 38403 39168 48192 51204 52224 64256 68272 72288 76806 78336 96384 102408 104448 128512 136544 144576 153612 156672 192768 204816 257024 273088 289152 307224 313344 385536 409632 514048 546176 578304 614448 771072 819264 1092352 1156608 1228896 1542144 1638528 2184704 2313216 2457792 3277056 4369408 4626432 4915584 6554112 8738816 9831168 13108224 19662336 26216448 39324672 78649344