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55400436 = 22347131879
BaseRepresentation
bin1101001101010…
…1011111110100
310212020122010000
43103111133310
5103140303221
65255231300
71241616210
oct323253764
9125218100
1055400436
11292aa193
1216678530
13b629530
147501940
154ce4e26
hex34d57f4

55400436 has 120 divisors (see below), whose sum is σ = 178344320. Its totient is φ = 14603328.

The previous prime is 55400417. The next prime is 55400459. The reversal of 55400436 is 63400455.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28545 + ... + 30423.

Almost surely, 255400436 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 55400436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89172160).

55400436 is an abundant number, since it is smaller than the sum of its proper divisors (122943884).

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

55400436 is a wasteful number, since it uses less digits than its factorization.

55400436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 55400436 is about 7443.1469151159. The cubic root of 55400436 is about 381.2159480113.

The spelling of 55400436 in words is "fifty-five million, four hundred thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 1879 2106 2268 2457 3276 3758 4212 4914 5637 7371 7516 9828 11274 13153 14742 16911 22548 24427 26306 29484 33822 39459 48854 50733 52612 67644 73281 78918 97708 101466 118377 146562 152199 157836 170989 202932 219843 236754 293124 304398 341978 355131 439686 473508 512967 608796 659529 683956 710262 879372 1025934 1065393 1319058 1420524 1538901 1978587 2051868 2130786 2638116 3077802 3957174 4261572 4616703 6155604 7914348 9233406 13850109 18466812 27700218 55400436