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64978452 = 223271122131
BaseRepresentation
bin1111011111011…
…1111000010100
311112021020200100
43313313320110
5113113302302
610240414100
71416210360
oct367677024
9145236610
1064978452
1133751300
1219917330
1310600cb6
1488b62a0
155a87d1c
hex3df7e14

64978452 has 108 divisors (see below), whose sum is σ = 206428768. Its totient is φ = 16869600.

The previous prime is 64978447. The next prime is 64978493. The reversal of 64978452 is 25487946.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 64978398 and 64978407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29427 + ... + 31557.

Almost surely, 264978452 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 64978452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103214384).

64978452 is an abundant number, since it is smaller than the sum of its proper divisors (141450316).

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

64978452 is a wasteful number, since it uses less digits than its factorization.

64978452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2154 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 64978452 is about 8060.9212872971. The cubic root of 64978452 is about 402.0281408978.

The spelling of 64978452 in words is "sixty-four million, nine hundred seventy-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2131 2178 2541 2772 3388 4262 4356 5082 6393 7623 8524 10164 12786 14917 15246 19179 23441 25572 29834 30492 38358 44751 46882 59668 70323 76716 89502 93764 134253 140646 164087 179004 210969 257851 268506 281292 328174 421938 492261 515702 537012 656348 773553 843876 984522 1031404 1476783 1547106 1804957 1969044 2320659 2953566 3094212 3609914 4641318 5414871 5907132 7219828 9282636 10829742 16244613 21659484 32489226 64978452