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1419227952 = 243196197263
BaseRepresentation
bin101010010010111…
…1011001100110000
310122220112020202020
41110211323030300
510401310243302
6352454551440
750112144552
oct12445731460
93586466666
101419227952
11669131a6a
12337368580
1319805166c
14d66b94d2
15848e1ebc
hex5497b330

1419227952 has 160 divisors (see below), whose sum is σ = 3978078720. Its totient is φ = 434626560.

The previous prime is 1419227911. The next prime is 1419227959. The reversal of 1419227952 is 2597229141.

It is a super-2 number, since 2×14192279522 = 4028415959476228608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1419227959) 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, 5396173 + ... + 5396435.

It is an arithmetic number, because the mean of its divisors is an integer number (24862992).

Almost surely, 21419227952 is an apocalyptic number.

1419227952 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 1419227952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989039360).

1419227952 is an abundant number, since it is smaller than the sum of its proper divisors (2558850768).

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

1419227952 is a wasteful number, since it uses less digits than its factorization.

1419227952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 1419227952 is about 37672.6419567304. The cubic root of 1419227952 is about 1123.7871246576.

The spelling of 1419227952 in words is "one billion, four hundred nineteen million, two hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 61 76 97 114 122 152 183 194 228 244 263 291 304 366 388 456 488 526 582 732 776 789 912 976 1052 1159 1164 1464 1552 1578 1843 2104 2318 2328 2928 3156 3477 3686 4208 4636 4656 4997 5529 5917 6312 6954 7372 9272 9994 11058 11834 12624 13908 14744 14991 16043 17751 18544 19988 22116 23668 25511 27816 29488 29982 32086 35502 39976 44232 47336 48129 51022 55632 59964 64172 71004 76533 79952 88464 94672 96258 102044 112423 119928 128344 142008 153066 192516 204088 224846 239856 256688 284016 304817 306132 337269 385032 408176 449692 484709 609634 612264 674538 770064 899384 914451 969418 1219268 1224528 1349076 1454127 1556171 1798768 1828902 1938836 2438536 2698152 2908254 3112342 3657804 3877672 4668513 4877072 5396304 5816508 6224684 7315608 7755344 9337026 11633016 12449368 14631216 18674052 23266032 24898736 29567249 37348104 59134498 74696208 88701747 118268996 177403494 236537992 354806988 473075984 709613976 1419227952