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76972248 = 2333461773
BaseRepresentation
bin1001001011010…
…00000011011000
312100211121002000
410211220003120
5124201102443
611345441000
71623152613
oct445500330
9170747060
1076972248
113a4a3431
1221940160
1312c40212
14a31917a
156b568d3
hex49680d8

76972248 has 64 divisors (see below), whose sum is σ = 214552800. Its totient is φ = 25568640.

The previous prime is 76972219. The next prime is 76972253. The reversal of 76972248 is 84227967.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99190 + ... + 99962.

Almost surely, 276972248 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 76972248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107276400).

76972248 is an abundant number, since it is smaller than the sum of its proper divisors (137580552).

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

76972248 is a wasteful number, since it uses less digits than its factorization.

76972248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1239 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 76972248 is about 8773.3829279247. The cubic root of 76972248 is about 425.3809695852.

The spelling of 76972248 in words is "seventy-six million, nine hundred seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 461 773 922 1383 1546 1844 2319 2766 3092 3688 4149 4638 5532 6184 6957 8298 9276 11064 12447 13914 16596 18552 20871 24894 27828 33192 41742 49788 55656 83484 99576 166968 356353 712706 1069059 1425412 2138118 2850824 3207177 4276236 6414354 8552472 9621531 12828708 19243062 25657416 38486124 76972248