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55249152 = 283743239
BaseRepresentation
bin1101001011000…
…0100100000000
310211221221120220
43102300210000
5103120433102
65252103040
71240416150
oct322604400
9124857526
1055249152
1129206562
1216604a80
13b5a570a
1474a2760
154cb51bc
hex34b0900

55249152 has 144 divisors (see below), whose sum is σ = 172677120. Its totient is φ = 15353856.

The previous prime is 55249123. The next prime is 55249171. The reversal of 55249152 is 25194255.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 231049 + ... + 231287.

Almost surely, 255249152 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 55249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86338560).

55249152 is an abundant number, since it is smaller than the sum of its proper divisors (117427968).

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

55249152 is a wasteful number, since it uses less digits than its factorization.

55249152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 55249152 is about 7432.9773307874. The cubic root of 55249152 is about 380.8686315580.

The spelling of 55249152 in words is "fifty-five million, two hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 239 256 258 301 336 344 384 448 478 516 602 672 688 717 768 896 903 956 1032 1204 1344 1376 1434 1673 1792 1806 1912 2064 2408 2688 2752 2868 3346 3612 3824 4128 4816 5019 5376 5504 5736 6692 7224 7648 8256 9632 10038 10277 11008 11472 13384 14448 15296 16512 19264 20076 20554 22944 26768 28896 30592 30831 33024 38528 40152 41108 45888 53536 57792 61184 61662 71939 77056 80304 82216 91776 107072 115584 123324 143878 160608 164432 183552 214144 215817 231168 246648 287756 321216 328864 428288 431634 493296 575512 642432 657728 863268 986592 1151024 1284864 1315456 1726536 1973184 2302048 2630912 3453072 3946368 4604096 6906144 7892736 9208192 13812288 18416384 27624576 55249152