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79378452 = 223229139547
BaseRepresentation
bin1001011101100…
…11100000010100
312112100211202200
410232303200110
5130310102302
611513204500
71652464026
oct456634024
9175324680
1079378452
114089722a
1222700730
13135a34ca
14a784016
156e7e81c
hex4bb3814

79378452 has 72 divisors (see below), whose sum is σ = 209445600. Its totient is φ = 25316928.

The previous prime is 79378433. The next prime is 79378459. The reversal of 79378452 is 25487397.

79378452 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (423360) is a multiple of the sum of its prime divisors (720).

79378452 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 79378398 and 79378407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79378459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144843 + ... + 145389.

Almost surely, 279378452 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 79378452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104722800).

79378452 is an abundant number, since it is smaller than the sum of its proper divisors (130067148).

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

79378452 is a wasteful number, since it uses less digits than its factorization.

79378452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 720 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 79378452 is about 8909.4585694081. The cubic root of 79378452 is about 429.7681317078.

The spelling of 79378452 in words is "seventy-nine million, three hundred seventy-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 139 174 261 278 348 417 522 547 556 834 1044 1094 1251 1641 1668 2188 2502 3282 4031 4923 5004 6564 8062 9846 12093 15863 16124 19692 24186 31726 36279 47589 48372 63452 72558 76033 95178 142767 145116 152066 190356 228099 285534 304132 456198 571068 684297 912396 1368594 2204957 2737188 4409914 6614871 8819828 13229742 19844613 26459484 39689226 79378452