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1552056560 = 2452347131137
BaseRepresentation
bin101110010000010…
…1000000011110000
311000011110122100022
41130200220003300
511134311302220
6414001543012
753314156145
oct13440500360
94004418308
101552056560
1172710607a
12373944a68
131b971a782
1410a1b43cc
15913cd925
hex5c8280f0

1552056560 has 160 divisors (see below), whose sum is σ = 3903178752. Its totient is φ = 572549120.

The previous prime is 1552056557. The next prime is 1552056593. The reversal of 1552056560 is 656502551.

It is a self number, because there is not a number n which added to its sum of digits gives 1552056560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11328812 + ... + 11328948.

Almost surely, 21552056560 is an apocalyptic number.

1552056560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1552056560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951589376).

1552056560 is an abundant number, since it is smaller than the sum of its proper divisors (2351122192).

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

1552056560 is a wasteful number, since it uses less digits than its factorization.

1552056560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The square root of 1552056560 is about 39396.1490503831. The cubic root of 1552056560 is about 1157.8061388292.

The spelling of 1552056560 in words is "one billion, five hundred fifty-two million, fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 131 137 184 188 230 235 262 274 368 376 460 470 524 548 655 685 752 920 940 1048 1081 1096 1310 1370 1840 1880 2096 2162 2192 2620 2740 3013 3151 3760 4324 5240 5405 5480 6026 6157 6302 6439 8648 10480 10810 10960 12052 12314 12604 12878 15065 15755 17296 17947 21620 24104 24628 25208 25756 30130 30785 31510 32195 35894 43240 48208 49256 50416 51512 60260 61570 63020 64390 71788 86480 89735 98512 103024 120520 123140 126040 128780 141611 143576 148097 179470 241040 246280 252080 257560 283222 287152 296194 358940 412781 492560 515120 566444 592388 708055 717880 740485 825562 843509 1132888 1184776 1416110 1435760 1480970 1651124 1687018 2063905 2265776 2369552 2832220 2961940 3302248 3374036 4127810 4217545 5664440 5923880 6604496 6748072 8255620 8435090 11328880 11847760 13496144 16511240 16870180 19400707 33022480 33740360 38801414 67480720 77602828 97003535 155205656 194007070 310411312 388014140 776028280 1552056560