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76348125 = 325472277
BaseRepresentation
bin1001000110011…
…11101011011101
312022122212221100
410203033223131
5124021120000
611324223313
71614643200
oct443175335
9168585840
1076348125
113a107527
122169ab39
1312a82109
14a1d5937
156a81a00
hex48cfadd

76348125 has 90 divisors (see below), whose sum is σ = 160884438. Its totient is φ = 34776000.

The previous prime is 76348123. The next prime is 76348127. The reversal of 76348125 is 52184367.

76348125 is a `hidden beast` number, since 7 + 634 + 8 + 12 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (76348123) and next prime (76348127).

It can be written as a sum of positive squares in 5 ways, for example, as 43480836 + 32867289 = 6594^2 + 5733^2 .

It is not a de Polignac number, because 76348125 - 21 = 76348123 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 76348125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76348121) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 275487 + ... + 275763.

Almost surely, 276348125 is an apocalyptic number.

76348125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76348125 is an abundant number, since it is smaller than the sum of its proper divisors (84536313).

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

76348125 is a wasteful number, since it uses less digits than its factorization.

76348125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 292 counting only the distinct ones).

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

The square root of 76348125 is about 8737.7414129739. The cubic root of 76348125 is about 424.2281260964.

The spelling of 76348125 in words is "seventy-six million, three hundred forty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 277 315 375 441 525 625 735 831 875 1125 1225 1385 1575 1875 1939 2205 2493 2625 3675 4155 4375 5625 5817 6125 6925 7875 9695 11025 12465 13125 13573 17451 18375 20775 29085 30625 34625 39375 40719 48475 55125 62325 67865 87255 91875 103875 122157 145425 173125 203595 242375 275625 311625 339325 436275 519375 610785 727125 1017975 1211875 1558125 1696625 2181375 3053925 3635625 5089875 8483125 10906875 15269625 25449375 76348125