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55678480 = 245111331157
BaseRepresentation
bin1101010001100…
…1011000010000
310212202202111221
43110121120100
5103223202410
65305214424
71244154634
oct324313020
9125682457
1055678480
112947a080
1216791414
13b6c5c60
147574dc4
154d4c4da
hex3519610

55678480 has 160 divisors (see below), whose sum is σ = 157989888. Its totient is φ = 17971200.

The previous prime is 55678459. The next prime is 55678499. The reversal of 55678480 is 8487655.

It is a super-2 number, since 2×556784802 = 6200186270220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354562 + ... + 354718.

Almost surely, 255678480 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 55678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78994944).

55678480 is an abundant number, since it is smaller than the sum of its proper divisors (102311408).

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

55678480 is a wasteful number, since it uses less digits than its factorization.

55678480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 55678480 is about 7461.8013910851. The cubic root of 55678480 is about 381.8526335985.

The spelling of 55678480 in words is "fifty-five million, six hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 124 130 143 155 157 176 208 220 248 260 286 310 314 341 403 440 496 520 572 620 628 682 715 785 806 880 1040 1144 1240 1256 1364 1430 1570 1612 1705 1727 2015 2041 2288 2480 2512 2728 2860 3140 3224 3410 3454 4030 4082 4433 4867 5456 5720 6280 6448 6820 6908 8060 8164 8635 8866 9734 10205 11440 12560 13640 13816 16120 16328 17270 17732 19468 20410 22165 22451 24335 27280 27632 32240 32656 34540 35464 38936 40820 44330 44902 48670 53537 63271 69080 70928 77872 81640 88660 89804 97340 107074 112255 126542 138160 163280 177320 179608 194680 214148 224510 253084 267685 316355 354640 359216 389360 428296 449020 506168 535370 632710 695981 856592 898040 1012336 1070740 1265420 1391962 1796080 2141480 2530840 2783924 3479905 4282960 5061680 5567848 6959810 11135696 13919620 27839240 55678480