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55780608 = 2831337151
BaseRepresentation
bin1101010011001…
…0010100000000
310212221221121110
43110302110000
5103234434413
65311323320
71245061452
oct324622400
9125857543
1055780608
1129539884
1216820540
13b7305a0
1475a02d2
154d6c8c3
hex3532500

55780608 has 144 divisors (see below), whose sum is σ = 165286016. Its totient is φ = 16588800.

The previous prime is 55780591. The next prime is 55780609. The reversal of 55780608 is 80608755.

It is a happy number.

It is a super-2 number, since 2×557806082 = 6222952457699328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55780609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369333 + ... + 369483.

Almost surely, 255780608 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 55780608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82643008).

55780608 is an abundant number, since it is smaller than the sum of its proper divisors (109505408).

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

55780608 is a wasteful number, since it uses less digits than its factorization.

55780608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 55780608 is about 7468.6416435654. The cubic root of 55780608 is about 382.0859614848.

The spelling of 55780608 in words is "fifty-five million, seven hundred eighty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 151 156 192 208 222 256 296 302 312 384 416 444 453 481 592 604 624 768 832 888 906 962 1184 1208 1248 1443 1664 1776 1812 1924 1963 2368 2416 2496 2886 3328 3552 3624 3848 3926 4736 4832 4992 5587 5772 5889 7104 7248 7696 7852 9472 9664 9984 11174 11544 11778 14208 14496 15392 15704 16761 19328 22348 23088 23556 28416 28992 30784 31408 33522 38656 44696 46176 47112 57984 61568 62816 67044 72631 89392 92352 94224 115968 123136 125632 134088 145262 178784 184704 188448 217893 251264 268176 290524 357568 369408 376896 435786 502528 536352 581048 715136 753792 871572 1072704 1162096 1430272 1507584 1743144 2145408 2324192 3486288 4290816 4648384 6972576 9296768 13945152 18593536 27890304 55780608