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55432960 = 2851131127
BaseRepresentation
bin1101001101110…
…1011100000000
310212022021201121
43103131130000
5103142323320
65300042024
71242113062
oct323353400
9125267647
1055432960
1129321670
1216693314
13b63b28b
14750d732
154cee8aa
hex34dd700

55432960 has 144 divisors (see below), whose sum is σ = 150700032. Its totient is φ = 19353600.

The previous prime is 55432939. The next prime is 55432987. The reversal of 55432960 is 6923455.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436417 + ... + 436543.

It is an arithmetic number, because the mean of its divisors is an integer number (1046528).

Almost surely, 255432960 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 55432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75350016).

55432960 is an abundant number, since it is smaller than the sum of its proper divisors (95267072).

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

55432960 is a wasteful number, since it uses less digits than its factorization.

55432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 55432960 is about 7445.3314231134. The cubic root of 55432960 is about 381.2905337178.

The spelling of 55432960 in words is "fifty-five million, four hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 127 128 155 160 176 220 248 254 256 310 320 341 352 440 496 508 620 635 640 682 704 880 992 1016 1240 1270 1280 1364 1397 1408 1705 1760 1984 2032 2480 2540 2728 2794 2816 3410 3520 3937 3968 4064 4960 5080 5456 5588 6820 6985 7040 7874 7936 8128 9920 10160 10912 11176 13640 13970 14080 15748 16256 19685 19840 20320 21824 22352 27280 27940 31496 32512 39370 39680 40640 43307 43648 44704 54560 55880 62992 78740 81280 86614 87296 89408 109120 111760 125984 157480 162560 173228 178816 216535 218240 223520 251968 314960 346456 357632 433070 436480 447040 503936 629920 692912 866140 894080 1007872 1259840 1385824 1732280 1788160 2519680 2771648 3464560 5039360 5543296 6929120 11086592 13858240 27716480 55432960