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1088026272 = 2532127151197
BaseRepresentation
bin100000011011001…
…1111011010100000
32210211022110110100
41000312133122200
54212013320042
6255544102400
735651033154
oct10066373240
92724273410
101088026272
11509187273
12264464a00
1314454a938
14a4703064
15657bd24c
hex40d9f6a0

1088026272 has 144 divisors (see below), whose sum is σ = 3155023872. Its totient is φ = 355622400.

The previous prime is 1088026267. The next prime is 1088026273. The reversal of 1088026272 is 2726208801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1088026273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5522878 + ... + 5523074.

It is an arithmetic number, because the mean of its divisors is an integer number (21909888).

Almost surely, 21088026272 is an apocalyptic number.

1088026272 is a gapful number since it is divisible by the number (12) 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 1088026272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577511936).

1088026272 is an abundant number, since it is smaller than the sum of its proper divisors (2066997600).

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

1088026272 is a wasteful number, since it uses less digits than its factorization.

1088026272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1088026272 is about 32985.2432460335. The cubic root of 1088026272 is about 1028.5209147150.

The spelling of 1088026272 in words is "one billion, eighty-eight million, twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 151 197 254 288 302 381 394 453 508 591 604 762 788 906 1016 1143 1182 1208 1359 1524 1576 1773 1812 2032 2286 2364 2416 2718 3048 3152 3546 3624 4064 4572 4728 4832 5436 6096 6304 7092 7248 9144 9456 10872 12192 14184 14496 18288 18912 19177 21744 25019 28368 29747 36576 38354 43488 50038 56736 57531 59494 75057 76708 89241 100076 115062 118988 150114 153416 172593 178482 200152 225171 230124 237976 267723 300228 306832 345186 356964 400304 450342 460248 475952 535446 600456 613664 690372 713928 800608 900684 920496 951904 1070892 1200912 1380744 1427856 1801368 1840992 2141784 2401824 2761488 2855712 3602736 3777869 4283568 5522976 7205472 7555738 8567136 11333607 15111476 22667214 30222952 34000821 45334428 60445904 68001642 90668856 120891808 136003284 181337712 272006568 362675424 544013136 1088026272