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1542242064 = 2431131591597
BaseRepresentation
bin101101111101100…
…1011111100010000
310222111000000101110
41123323023330100
511124303221224
6413011333320
753134561356
oct13373137420
93874000343
101542242064
11721612320
123705b1240
131b769248c
14108b7b7d6
15905e0929
hex5becbf10

1542242064 has 160 divisors (see below), whose sum is σ = 4565422080. Its totient is φ = 444326400.

The previous prime is 1542242063. The next prime is 1542242081. The reversal of 1542242064 is 4602422451.

It is not an unprimeable number, because it can be changed into a prime (1542242063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964914 + ... + 966510.

It is an arithmetic number, because the mean of its divisors is an integer number (28533888).

Almost surely, 21542242064 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 1542242064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282711040).

1542242064 is an abundant number, since it is smaller than the sum of its proper divisors (3023180016).

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

1542242064 is a wasteful number, since it uses less digits than its factorization.

1542242064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1542242064 is about 39271.3898913700. The cubic root of 1542242064 is about 1155.3604976535.

The spelling of 1542242064 in words is "one billion, five hundred forty-two million, two hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 59 62 66 88 93 118 124 132 176 177 186 236 248 264 341 354 372 472 496 528 649 682 708 744 944 1023 1298 1364 1416 1488 1597 1829 1947 2046 2596 2728 2832 3194 3658 3894 4092 4791 5192 5456 5487 6388 7316 7788 8184 9582 10384 10974 12776 14632 15576 16368 17567 19164 20119 21948 25552 29264 31152 35134 38328 40238 43896 49507 52701 60357 70268 76656 80476 87792 94223 99014 105402 120714 140536 148521 160952 188446 198028 210804 241428 281072 282669 297042 321904 376892 396056 421608 482856 544577 565338 594084 753784 792112 843216 965712 1036453 1089154 1130676 1188168 1507568 1633731 2072906 2178308 2261352 2376336 2920913 3109359 3267462 4145812 4356616 4522704 5841826 6218718 6534924 8291624 8713232 8762739 11683652 12437436 13069848 16583248 17525478 23367304 24874872 26139696 32130043 35050956 46734608 49749744 64260086 70101912 96390129 128520172 140203824 192780258 257040344 385560516 514080688 771121032 1542242064