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55194624 = 2103253113
BaseRepresentation
bin1101001010001…
…1010000000000
310211212011210100
43102203100000
5103112211444
65251002400
71240101162
oct322432000
9124764710
1055194624
11291795a1
1216599400
13b586954
14748a932
154ca3e69
hex34a3400

55194624 has 132 divisors (see below), whose sum is σ = 163817316. Its totient is φ = 17891328.

The previous prime is 55194611. The next prime is 55194647. The reversal of 55194624 is 42649155.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 38937600 = 4032^2 + 6240^2 .

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

Its product of digits (43200) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488392 + ... + 488504.

Almost surely, 255194624 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 55194624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81908658).

55194624 is an abundant number, since it is smaller than the sum of its proper divisors (108622692).

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

55194624 is a wasteful number, since it uses less digits than its factorization.

55194624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 55194624 is about 7429.3084469552. The cubic root of 55194624 is about 380.7432912282.

The spelling of 55194624 in words is "fifty-five million, one hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 113 128 144 159 192 212 226 256 288 318 339 384 424 452 477 512 576 636 678 768 848 904 954 1017 1024 1152 1272 1356 1536 1696 1808 1908 2034 2304 2544 2712 3072 3392 3616 3816 4068 4608 5088 5424 5989 6784 7232 7632 8136 9216 10176 10848 11978 13568 14464 15264 16272 17967 20352 21696 23956 27136 28928 30528 32544 35934 40704 43392 47912 53901 54272 57856 61056 65088 71868 81408 86784 95824 107802 115712 122112 130176 143736 162816 173568 191648 215604 244224 260352 287472 347136 383296 431208 488448 520704 574944 766592 862416 1041408 1149888 1533184 1724832 2299776 3066368 3449664 4599552 6132736 6899328 9199104 13798656 18398208 27597312 55194624