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78073974 = 232112913597
BaseRepresentation
bin1001010011101…
…01000001110110
312102220120100200
410221311001312
5124441331344
611425221330
71635421626
oct451650166
9172816320
1078073974
1140086150
1222191846
1313237824
14a524886
156cc3069
hex4a75076

78073974 has 48 divisors (see below), whose sum is σ = 190915920. Its totient is φ = 22841280.

The previous prime is 78073967. The next prime is 78073981. The reversal of 78073974 is 47937087.

It is an interprime number because it is at equal distance from previous prime (78073967) and next prime (78073981).

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 23 ways as a sum of consecutive naturals, for example, 1057 + ... + 12540.

It is an arithmetic number, because the mean of its divisors is an integer number (3977415).

Almost surely, 278073974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78073974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95457960).

78073974 is an abundant number, since it is smaller than the sum of its proper divisors (112841946).

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

78073974 is a wasteful number, since it uses less digits than its factorization.

78073974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13645 (or 13642 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 78073974 is about 8835.9478269170. The cubic root of 78073974 is about 427.4008962846.

It can be divided in two parts, 7807 and 3974, that added together give a triangular number (11781 = T153).

The spelling of 78073974 in words is "seventy-eight million, seventy-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 13597 27194 40791 81582 122373 149567 244746 299134 394313 448701 788626 897402 1182939 1346103 2365878 2692206 3548817 4337443 7097634 8674886 13012329 26024658 39036987 78073974