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1089136848 = 2431923137379
BaseRepresentation
bin100000011101010…
…1110100011010000
32210220101212212210
41000322232203100
54212304334343
6300023552120
735663340042
oct10072564320
92726355783
101089136848
115098756a8
122648bb640
13144849297
14a4911a92
156593c333
hex40eae8d0

1089136848 has 160 divisors (see below), whose sum is σ = 3121228800. Its totient is φ = 325721088.

The previous prime is 1089136837. The next prime is 1089136849. The reversal of 1089136848 is 8486319801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1089136797 and 1089136806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089136849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2873523 + ... + 2873901.

It is an arithmetic number, because the mean of its divisors is an integer number (19507680).

Almost surely, 21089136848 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 1089136848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560614400).

1089136848 is an abundant number, since it is smaller than the sum of its proper divisors (2032091952).

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

1089136848 is a wasteful number, since it uses less digits than its factorization.

1089136848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 1089136848 is about 33002.0733894099. The cubic root of 1089136848 is about 1028.8707415074.

The spelling of 1089136848 in words is "one billion, eighty-nine million, one hundred thirty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 137 138 152 184 228 274 276 304 368 379 411 437 456 548 552 758 822 874 912 1096 1104 1137 1311 1516 1644 1748 2192 2274 2603 2622 3032 3151 3288 3496 4548 5206 5244 6064 6302 6576 6992 7201 7809 8717 9096 9453 10412 10488 12604 14402 15618 17434 18192 18906 20824 20976 21603 25208 26151 28804 31236 34868 37812 41648 43206 50416 51923 52302 57608 59869 62472 69736 75624 86412 103846 104604 115216 119738 124944 139472 151248 155769 165623 172824 179607 207692 209208 239476 311538 331246 345648 359214 415384 418416 478952 496869 623076 662492 718428 830768 957904 986537 993738 1194229 1246152 1324984 1436856 1973074 1987476 2388458 2492304 2649968 2873712 2959611 3582687 3946148 3974952 4776916 5919222 7165374 7892296 7949904 9553832 11838444 14330748 15784592 19107664 22690351 23676888 28661496 45380702 47353776 57322992 68071053 90761404 136142106 181522808 272284212 363045616 544568424 1089136848