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1357053488 = 247891091249
BaseRepresentation
bin101000011100010…
…1111111000110000
310111120112110102022
41100320233320300
510234401202423
6342354211012
745425523110
oct12070577060
93446473368
101357053488
1163702640a
1231a583a68
131881c2a3b
14cc333040
157e20edc8
hex50e2fe30

1357053488 has 80 divisors (see below), whose sum is σ = 3069000000. Its totient is φ = 569327616.

The previous prime is 1357053487. The next prime is 1357053493. The reversal of 1357053488 is 8843507531.

It is a happy number.

It is a super-3 number, since 3×13570534883 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1357053487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085888 + ... + 1087136.

It is an arithmetic number, because the mean of its divisors is an integer number (38362500).

Almost surely, 21357053488 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 1357053488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534500000).

1357053488 is an abundant number, since it is smaller than the sum of its proper divisors (1711946512).

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

1357053488 is a wasteful number, since it uses less digits than its factorization.

1357053488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 1357053488 is about 36838.2069053313. The cubic root of 1357053488 is about 1107.1309419531.

The spelling of 1357053488 in words is "one billion, three hundred fifty-seven million, fifty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 89 109 112 178 218 356 436 623 712 763 872 1246 1249 1424 1526 1744 2492 2498 3052 4984 4996 6104 8743 9701 9968 9992 12208 17486 19402 19984 34972 38804 67907 69944 77608 111161 135814 136141 139888 155216 222322 271628 272282 444644 543256 544564 778127 889288 952987 1086512 1089128 1556254 1778576 1905974 2178256 3112508 3811948 6225016 7623896 12116549 12450032 15247792 24233098 48466196 84815843 96932392 169631686 193864784 339263372 678526744 1357053488