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78352248 = 233131072347
BaseRepresentation
bin1001010101110…
…00111101111000
312110102201002010
410222320331320
5130024232443
611435205520
71640661132
oct452707570
9173381063
1078352248
1140256227
12222a68a0
13133043a0
14a598052
156d2a733
hex4ab8f78

78352248 has 64 divisors (see below), whose sum is σ = 213010560. Its totient is φ = 23872896.

The previous prime is 78352247. The next prime is 78352277. The reversal of 78352248 is 84225387.

It is a super-2 number, since 2×783522482 = 12278149533307008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78352247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32211 + ... + 34557.

It is an arithmetic number, because the mean of its divisors is an integer number (3328290).

Almost surely, 278352248 is an apocalyptic number.

78352248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78352248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106505280).

78352248 is an abundant number, since it is smaller than the sum of its proper divisors (134658312).

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

78352248 is a wasteful number, since it uses less digits than its factorization.

78352248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2472 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 78352248 is about 8851.6805184100. The cubic root of 78352248 is about 427.9080799485.

The spelling of 78352248 in words is "seventy-eight million, three hundred fifty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 856 1284 1391 2347 2568 2782 4173 4694 5564 7041 8346 9388 11128 14082 16692 18776 28164 30511 33384 56328 61022 91533 122044 183066 244088 251129 366132 502258 732264 753387 1004516 1506774 2009032 3013548 3264677 6027096 6529354 9794031 13058708 19588062 26117416 39176124 78352248