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78321152 = 29713412
BaseRepresentation
bin1001010101100…
…01011000000000
312110101010102102
410222301120000
5130022234102
611434405532
71640501360
oct452613000
9173333372
1078321152
1140234928
12222908a8
13132c31a0
14a58a9a0
156d21402
hex4ab1600

78321152 has 120 divisors (see below), whose sum is σ = 197414448. Its totient is φ = 30228480.

The previous prime is 78321151. The next prime is 78321161. The reversal of 78321152 is 25112387.

It is a super-2 number, since 2×783211522 = 12268405701214208, which contains 22 as substring.

Its product of digits (3360) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78321151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1910252 + ... + 1910292.

Almost surely, 278321152 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 78321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98707224).

78321152 is an abundant number, since it is smaller than the sum of its proper divisors (119093296).

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

78321152 is an equidigital number, since it uses as much as digits as its factorization.

78321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 63 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 78321152 is about 8849.9238414802. The cubic root of 78321152 is about 427.8514638731.

The spelling of 78321152 in words is "seventy-eight million, three hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 52 56 64 82 91 104 112 128 164 182 208 224 256 287 328 364 416 448 512 533 574 656 728 832 896 1066 1148 1312 1456 1664 1681 1792 2132 2296 2624 2912 3328 3362 3584 3731 4264 4592 5248 5824 6656 6724 7462 8528 9184 10496 11648 11767 13448 14924 17056 18368 20992 21853 23296 23534 26896 29848 34112 36736 43706 46592 47068 53792 59696 68224 73472 87412 94136 107584 119392 136448 146944 152971 174824 188272 215168 238784 272896 305942 349648 376544 430336 477568 611884 699296 753088 860672 955136 1223768 1398592 1506176 1910272 2447536 2797184 3012352 4895072 5594368 6024704 9790144 11188736 19580288 39160576 78321152