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76650480 = 24325293671
BaseRepresentation
bin1001001000110…
…01011111110000
312100020020200200
410210121133300
5124110303410
611334515200
71620342534
oct444313760
9170206620
1076650480
113a2a3705
1221805b00
1312b5991a
14a273bc4
156ae13c0
hex49197f0

76650480 has 120 divisors (see below), whose sum is σ = 266366880. Its totient is φ = 19729920.

The previous prime is 76650473. The next prime is 76650487. The reversal of 76650480 is 8405667.

It is a happy number.

76650480 is a `hidden beast` number, since 76 + 6 + 504 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (76650473) and next prime (76650487).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76650487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19045 + ... + 22715.

It is an arithmetic number, because the mean of its divisors is an integer number (2219724).

Almost surely, 276650480 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 76650480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

76650480 is an abundant number, since it is smaller than the sum of its proper divisors (189716400).

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

76650480 is a wasteful number, since it uses less digits than its factorization.

76650480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3710 counting only the distinct ones).

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

The square root of 76650480 is about 8755.0259851128. The cubic root of 76650480 is about 424.7874000114.

The spelling of 76650480 in words is "seventy-six million, six hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 3671 4176 5220 6960 7342 10440 11013 14684 18355 20880 22026 29368 33039 36710 44052 55065 58736 66078 73420 88104 106459 110130 132156 146840 165195 176208 212918 220260 264312 293680 319377 330390 425836 440520 528624 532295 638754 660780 851672 881040 958131 1064590 1277508 1321560 1596885 1703344 1916262 2129180 2555016 2643120 3193770 3832524 4258360 4790655 5110032 6387540 7665048 8516720 9581310 12775080 15330096 19162620 25550160 38325240 76650480