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1914429088 = 251121373521
BaseRepresentation
bin111001000011011…
…1101111010100000
311221102100002000001
41302012331322200
512410043212323
6513544505344
765304243625
oct16206757240
94842302001
101914429088
118a2710a00
1245517b254
132468163a0
1414238234c
15b310d3ad
hex721bdea0

1914429088 has 144 divisors (see below), whose sum is σ = 4531296168. Its totient is φ = 790732800.

The previous prime is 1914429079. The next prime is 1914429089. The reversal of 1914429088 is 8809244191.

It can be written as a sum of positive squares in 4 ways, for example, as 1186940304 + 727488784 = 34452^2 + 26972^2 .

It is not an unprimeable number, because it can be changed into a prime (1914429089) 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, 3674268 + ... + 3674788.

Almost surely, 21914429088 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 1914429088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265648084).

1914429088 is an abundant number, since it is smaller than the sum of its proper divisors (2616867080).

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

1914429088 is a wasteful number, since it uses less digits than its factorization.

1914429088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 1914429088 is about 43754.1893765614. The cubic root of 1914429088 is about 1241.6897462871.

The spelling of 1914429088 in words is "one billion, nine hundred fourteen million, four hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 73 88 104 121 143 146 176 208 242 286 292 352 416 484 521 572 584 803 949 968 1042 1144 1168 1573 1606 1898 1936 2084 2288 2336 3146 3212 3796 3872 4168 4576 5731 6292 6424 6773 7592 8336 8833 10439 11462 12584 12848 13546 15184 16672 17666 20878 22924 25168 25696 27092 30368 35332 38033 41756 45848 50336 54184 63041 70664 74503 76066 83512 91696 108368 114829 126082 141328 149006 152132 167024 183392 216736 229658 252164 282656 298012 304264 334048 418363 459316 494429 504328 596024 608528 819533 836726 918632 988858 1008656 1192048 1217056 1639066 1673452 1837264 1977716 2017312 2384096 3278132 3346904 3674528 3955432 4601993 5438719 6556264 6693808 7910864 9203986 10877438 13112528 13387616 15821728 18407972 21754876 26225056 36815944 43509752 59825909 73631888 87019504 119651818 147263776 174039008 239303636 478607272 957214544 1914429088