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78523380 = 2232513231459
BaseRepresentation
bin1001010111000…
…10101111110100
312110202101211100
410223202233310
5130100222010
611443010100
71642303065
oct453425764
9173671740
1078523380
1140362861
1222369930
1313364250
14a60056c
156d612c0
hex4ae2bf4

78523380 has 144 divisors (see below), whose sum is σ = 267845760. Its totient is φ = 18475776.

The previous prime is 78523351. The next prime is 78523433. The reversal of 78523380 is 8332587.

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 47 ways as a sum of consecutive naturals, for example, 53091 + ... + 54549.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 278523380 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 78523380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

78523380 is an abundant number, since it is smaller than the sum of its proper divisors (189322380).

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

78523380 is a wasteful number, since it uses less digits than its factorization.

78523380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 78523380 is about 8861.3418848389. The cubic root of 78523380 is about 428.2193899540.

The spelling of 78523380 in words is "seventy-eight million, five hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1459 1495 1794 2070 2340 2691 2918 2990 3588 4140 4377 4485 5382 5836 5980 7295 8754 8970 10764 13131 13455 14590 17508 17940 18967 21885 26262 26910 29180 33557 37934 43770 52524 53820 56901 65655 67114 75868 87540 94835 100671 113802 131310 134228 167785 170703 189670 201342 227604 262620 284505 302013 335570 341406 379340 402684 436241 503355 569010 604026 671140 682812 853515 872482 1006710 1138020 1208052 1308723 1510065 1707030 1744964 2013420 2181205 2617446 3020130 3414060 3926169 4362410 5234892 6040260 6543615 7852338 8724820 13087230 15704676 19630845 26174460 39261690 78523380