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1278056052 = 22327131920533
BaseRepresentation
bin100110000101101…
…1001011001110100
310022001212222022100
41030023121121310
510104140243202
6330453102100
743446203640
oct11413313164
93261788270
101278056052
115a647a479
122b8027930
13174a23ab0
14c1a4bc20
157730841c
hex4c2d9674

1278056052 has 144 divisors (see below), whose sum is σ = 4185650560. Its totient is φ = 319313664.

The previous prime is 1278056051. The next prime is 1278056069. The reversal of 1278056052 is 2506508721.

It is a happy number.

1278056052 is a `hidden beast` number, since 12 + 7 + 80 + 560 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1278055998 and 1278056016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278056051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51978 + ... + 72510.

Almost surely, 21278056052 is an apocalyptic number.

1278056052 is a gapful number since it is divisible by the number (12) 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 1278056052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092825280).

1278056052 is an abundant number, since it is smaller than the sum of its proper divisors (2907594508).

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

1278056052 is a wasteful number, since it uses less digits than its factorization.

1278056052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20582 (or 20577 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1278056052 is about 35749.9098180681. The cubic root of 1278056052 is about 1085.2171132834.

The spelling of 1278056052 in words is "one billion, two hundred seventy-eight million, fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2394 2964 3276 3458 4446 4788 5187 6916 8892 10374 15561 20533 20748 31122 41066 61599 62244 82132 123198 143731 184797 246396 266929 287462 369594 390127 431193 533858 574924 739188 780254 800787 862386 1067716 1170381 1293579 1560508 1601574 1724772 1868503 2340762 2402361 2587158 2730889 3203148 3511143 3737006 4681524 4804722 5071651 5174316 5461778 5605509 7022286 7474012 8192667 9609444 10143302 10923556 11211018 14044572 15214953 16385334 16816527 20286604 22422036 24578001 30429906 32770668 33633054 35501557 45644859 49156002 60859812 67266108 71003114 91289718 98312004 106504671 142006228 182579436 213009342 319514013 426018684 639028026 1278056052