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78834432 = 283234463
BaseRepresentation
bin1001011001011…
…10101100000000
312111100012111210
410230232230000
5130140200212
611453410120
71645036665
oct454565400
9174305453
1078834432
1140555526
1222499940
13134429c1
14a681a6c
156dc353c
hex4b2eb00

78834432 has 72 divisors (see below), whose sum is σ = 218985984. Its totient is φ = 25129984.

The previous prime is 78834421. The next prime is 78834433. The reversal of 78834432 is 23443887.

It is not an unprimeable number, because it can be changed into a prime (78834433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15433 + ... + 19895.

It is an arithmetic number, because the mean of its divisors is an integer number (3041472).

Almost surely, 278834432 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 78834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109492992).

78834432 is an abundant number, since it is smaller than the sum of its proper divisors (140151552).

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

78834432 is a wasteful number, since it uses less digits than its factorization.

78834432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4491 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 78834432 is about 8878.8756044896. The cubic root of 78834432 is about 428.7840752978.

The spelling of 78834432 in words is "seventy-eight million, eight hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 4463 5888 8832 8926 13389 17664 17852 26778 35704 53556 71408 102649 107112 142816 205298 214224 285632 307947 410596 428448 571264 615894 821192 856896 1142528 1231788 1642384 1713792 2463576 3284768 3427584 4927152 6569536 9854304 13139072 19708608 26278144 39417216 78834432