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78460452 = 223272313537
BaseRepresentation
bin1001010110100…
…11011000100100
312110122012111200
410223103120210
5130041213302
611441402500
71641621450
oct453233044
9173565450
1078460452
114031a554
1222339430
1313341705
14a5c5660
156d4c81c
hex4ad3624

78460452 has 72 divisors (see below), whose sum is σ = 236535936. Its totient is φ = 21441024.

The previous prime is 78460451. The next prime is 78460463. The reversal of 78460452 is 25406487.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78460451) 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, 973 + ... + 12564.

Almost surely, 278460452 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 78460452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118267968).

78460452 is an abundant number, since it is smaller than the sum of its proper divisors (158075484).

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

78460452 is a wasteful number, since it uses less digits than its factorization.

78460452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13577 (or 13572 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 78460452 is about 8857.7904694117. The cubic root of 78460452 is about 428.1049688676.

The spelling of 78460452 in words is "seventy-eight million, four hundred sixty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 13537 27074 40611 54148 81222 94759 121833 162444 189518 243666 284277 311351 379036 487332 568554 622702 852831 934053 1137108 1245404 1705662 1868106 2179457 2802159 3411324 3736212 4358914 5604318 6538371 8717828 11208636 13076742 19615113 26153484 39230226 78460452