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53000480 = 2551383307
BaseRepresentation
bin1100101000101…
…1100100100000
310200201200222202
43022023210200
5102032003410
65131552332
71212332231
oct312134440
9120650882
1053000480
1127a10055
12158bb6a8
13ac99040
147079088
1549bdca5
hex328b920

53000480 has 96 divisors (see below), whose sum is σ = 136914624. Its totient is φ = 19270656.

The previous prime is 53000461. The next prime is 53000491. The reversal of 53000480 is 8400035.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 172487 + ... + 172793.

It is an arithmetic number, because the mean of its divisors is an integer number (1426194).

Almost surely, 253000480 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 53000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68457312).

53000480 is an abundant number, since it is smaller than the sum of its proper divisors (83914144).

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

53000480 is a wasteful number, since it uses less digits than its factorization.

53000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 53000480 is about 7280.1428557412. The cubic root of 53000480 is about 375.6297093917.

The spelling of 53000480 in words is "fifty-three million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 83 104 130 160 166 208 260 307 332 415 416 520 614 664 830 1040 1079 1228 1328 1535 1660 2080 2158 2456 2656 3070 3320 3991 4316 4912 5395 6140 6640 7982 8632 9824 10790 12280 13280 15964 17264 19955 21580 24560 25481 31928 34528 39910 43160 49120 50962 63856 79820 86320 101924 127405 127712 159640 172640 203848 254810 319280 331253 407696 509620 638560 662506 815392 1019240 1325012 1656265 2038480 2650024 3312530 4076960 5300048 6625060 10600096 13250120 26500240 53000480