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76012352 = 2613103887
BaseRepresentation
bin1001000011111…
…01101101000000
312022000211100022
410201331231000
5123424343402
611313113012
71612044233
oct441755500
9168024308
1076012352
11399a8229
1221558768
1312995330
14a14941a
156a172a2
hex487db40

76012352 has 56 divisors (see below), whose sum is σ = 164201856. Its totient is φ = 34702848.

The previous prime is 76012351. The next prime is 76012361. The reversal of 76012352 is 25321067.

76012352 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76012351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85253 + ... + 86139.

It is an arithmetic number, because the mean of its divisors is an integer number (2932176).

Almost surely, 276012352 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 76012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82100928).

76012352 is an abundant number, since it is smaller than the sum of its proper divisors (88189504).

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

76012352 is a wasteful number, since it uses less digits than its factorization.

76012352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 76012352 is about 8718.5062940850. The cubic root of 76012352 is about 423.6053049424.

The spelling of 76012352 in words is "seventy-six million, twelve thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 206 208 412 416 824 832 887 1339 1648 1774 2678 3296 3548 5356 6592 7096 10712 11531 14192 21424 23062 28384 42848 46124 56768 85696 91361 92248 182722 184496 365444 368992 730888 737984 1187693 1461776 2375386 2923552 4750772 5847104 9501544 19003088 38006176 76012352