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4194929088 = 26347115601
BaseRepresentation
bin1111101000001001…
…1000100111000000
3101211100111110220000
43322002120213000
532042400212323
61532131520000
7205645210650
oct37202304700
911740443800
104194929088
111862a23349
12990a59000
1351b12187c
142bb1b6360
1519842be43
hexfa0989c0

4194929088 has 140 divisors (see below), whose sum is σ = 14211647472. Its totient is φ = 1198540800.

The previous prime is 4194929059. The next prime is 4194929119. The reversal of 4194929088 is 8809294914.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 21513 + ... + 94088.

Almost surely, 24194929088 is an apocalyptic number.

4194929088 is a gapful number since it is divisible by the number (48) 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 4194929088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105823736).

4194929088 is an abundant number, since it is smaller than the sum of its proper divisors (10016718384).

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

4194929088 is a wasteful number, since it uses less digits than its factorization.

4194929088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115632 (or 115613 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 4194929088 is about 64768.2722326295. The cubic root of 4194929088 is about 1612.7790547875.

The spelling of 4194929088 in words is "four billion, one hundred ninety-four million, nine hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 115601 231202 346803 462404 693606 809207 924808 1040409 1387212 1618414 1849616 2080818 2427621 2774424 3121227 3236828 3699232 4161636 4855242 5548848 6242454 6473656 7282863 7398464 8323272 9363681 9710484 11097696 12484908 12947312 14565726 16646544 18727362 19420968 21848589 22195392 24969816 25894624 29131452 33293088 37454724 38841936 43697178 49939632 51789248 58262904 65545767 66586176 74909448 77683872 87394356 99879264 116525808 131091534 149818896 155367744 174788712 199758528 233051616 262183068 299637792 349577424 466103232 524366136 599275584 699154848 1048732272 1398309696 2097464544 4194929088