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76508480 = 265475087
BaseRepresentation
bin1001000111101…
…10110101000000
312022222000220102
410203312311000
5124041232410
611331501532
71616211536
oct443666500
9168860812
1076508480
113a206a54
12217578a8
1312b0a0b9
14a238156
156ab42a5
hex48f6d40

76508480 has 56 divisors (see below), whose sum is σ = 186098688. Its totient is φ = 29946368.

The previous prime is 76508479. The next prime is 76508491. The reversal of 76508480 is 8480567.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12497 + ... + 17583.

Almost surely, 276508480 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 76508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93049344).

76508480 is an abundant number, since it is smaller than the sum of its proper divisors (109590208).

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

76508480 is a wasteful number, since it uses less digits than its factorization.

76508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 76508480 is about 8746.9125981686. The cubic root of 76508480 is about 424.5249224293.

The spelling of 76508480 in words is "seventy-six million, five hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 3008 3760 5087 7520 10174 15040 20348 25435 40696 50870 81392 101740 162784 203480 239089 325568 406960 478178 813920 956356 1195445 1627840 1912712 2390890 3825424 4781780 7650848 9563560 15301696 19127120 38254240 76508480