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76000372 = 2272232733
BaseRepresentation
bin1001000011110…
…10110001110100
312022000012220121
410201322301310
5123424002442
611312541324
71611664300
oct441726164
9168005817
1076000372
113999a228
1221551844
131298ca46
14a144d00
156a13967
hex487ac74

76000372 has 54 divisors (see below), whose sum is σ = 161954898. Its totient is φ = 31112928.

The previous prime is 76000369. The next prime is 76000423. The reversal of 76000372 is 27300067.

It can be written as a sum of positive squares in only one way, i.e., 75585636 + 414736 = 8694^2 + 644^2 .

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 17 ways as a sum of consecutive naturals, for example, 103318 + ... + 104050.

Almost surely, 276000372 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 76000372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80977449).

76000372 is an abundant number, since it is smaller than the sum of its proper divisors (85954526).

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

76000372 is a wasteful number, since it uses less digits than its factorization.

76000372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 76000372 is about 8717.8192227185. The cubic root of 76000372 is about 423.5830495324.

The spelling of 76000372 in words is "seventy-six million, three hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 733 1058 1127 1466 2116 2254 2932 3703 4508 5131 7406 10262 14812 16859 20524 25921 33718 35917 51842 67436 71834 103684 118013 143668 236026 387757 472052 775514 826091 1551028 1652182 2714299 3304364 5428598 10857196 19000093 38000186 76000372