Search a number
-
+
1421858088 = 233272467863
BaseRepresentation
bin101010010111111…
…1101010100101000
310200002110212121200
41110233331110220
510402443424323
6353031204200
750143410600
oct12457752450
93602425550
101421858088
1166a669032
12338216660
13198762861
14d6ba1c00
1584c61443
hex54bfd528

1421858088 has 144 divisors (see below), whose sum is σ = 4494372480. Its totient is φ = 404905536.

The previous prime is 1421858077. The next prime is 1421858099. The reversal of 1421858088 is 8808581241.

It is an interprime number because it is at equal distance from previous prime (1421858077) and next prime (1421858099).

It is a super-2 number, since 2×14218580882 = 4043360844822031488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1647145 + ... + 1648007.

It is an arithmetic number, because the mean of its divisors is an integer number (31210920).

Almost surely, 21421858088 is an apocalyptic number.

1421858088 is a gapful number since it is divisible by the number (18) 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 1421858088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247186240).

1421858088 is an abundant number, since it is smaller than the sum of its proper divisors (3072514392).

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

1421858088 is a wasteful number, since it uses less digits than its factorization.

1421858088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The square root of 1421858088 is about 37707.5335708927. The cubic root of 1421858088 is about 1124.4809030339.

The spelling of 1421858088 in words is "one billion, four hundred twenty-one million, eight hundred fifty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 467 504 588 863 882 934 1176 1401 1726 1764 1868 2589 2802 3269 3452 3528 3736 4203 5178 5604 6041 6538 6904 7767 8406 9807 10356 11208 12082 13076 15534 16812 18123 19614 20712 22883 24164 26152 29421 31068 33624 36246 39228 42287 45766 48328 54369 58842 62136 68649 72492 78456 84574 91532 108738 117684 126861 137298 144984 169148 183064 205947 217476 235368 253722 274596 338296 380583 403021 411894 434952 507444 549192 761166 806042 823788 1014888 1209063 1522332 1612084 1647576 2418126 2821147 3044664 3224168 3627189 4836252 5642294 7254378 8463441 9672504 11284588 14508756 16926882 19748029 22569176 25390323 29017512 33853764 39496058 50780646 59244087 67707528 78992116 101561292 118488174 157984232 177732261 203122584 236976348 355464522 473952696 710929044 1421858088