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76499640 = 2334573373
BaseRepresentation
bin1001000111101…
…00101010111000
312022221120210000
410203310222320
5124040442030
611331353000
71616144010
oct443645270
9168846700
1076499640
113a200348
1221752760
1312b06079
14a234c40
156ab1860
hex48f4ab8

76499640 has 160 divisors (see below), whose sum is σ = 293942880. Its totient is φ = 17480448.

The previous prime is 76499629. The next prime is 76499699. The reversal of 76499640 is 4699467.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 20994 + ... + 24366.

It is an arithmetic number, because the mean of its divisors is an integer number (1837143).

Almost surely, 276499640 is an apocalyptic number.

76499640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76499640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146971440).

76499640 is an abundant number, since it is smaller than the sum of its proper divisors (217443240).

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

76499640 is a wasteful number, since it uses less digits than its factorization.

76499640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 76499640 is about 8746.4072624135. The cubic root of 76499640 is about 424.5085715409.

The spelling of 76499640 in words is "seventy-six million, four hundred ninety-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3373 3780 4536 5670 6746 7560 10119 11340 13492 16865 20238 22680 23611 26984 30357 33730 40476 47222 50595 60714 67460 70833 80952 91071 94444 101190 118055 121428 134920 141666 151785 182142 188888 202380 212499 236110 242856 273213 283332 303570 354165 364284 404760 424998 455355 472220 546426 566664 607140 637497 708330 728568 849996 910710 944440 1062495 1092852 1214280 1274994 1366065 1416660 1699992 1821420 1912491 2124990 2185704 2549988 2732130 2833320 3187485 3642840 3824982 4249980 5099976 5464260 6374970 7649964 8499960 9562455 10928520 12749940 15299928 19124910 25499880 38249820 76499640