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4019120952 = 2337118326203
BaseRepresentation
bin1110111110001110…
…1110101100111000
3101101002200111110120
43233203232230320
531212343332302
61502451413240
7201411651540
oct35743565470
911332614416
104019120952
111782764070
12941bb4220
134c08879a2
142a1ad0320
15187ca09bc
hexef8eeb38

4019120952 has 128 divisors (see below), whose sum is σ = 12678543360. Its totient is φ = 1031310720.

The previous prime is 4019120929. The next prime is 4019121019. The reversal of 4019120952 is 2590219104.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140283 + ... + 166485.

It is an arithmetic number, because the mean of its divisors is an integer number (99051120).

Almost surely, 24019120952 is an apocalyptic number.

4019120952 is a gapful number since it is divisible by the number (42) 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 4019120952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339271680).

4019120952 is an abundant number, since it is smaller than the sum of its proper divisors (8659422408).

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

4019120952 is a wasteful number, since it uses less digits than its factorization.

4019120952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26313 (or 26309 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 4019120952 is about 63396.5373817845. The cubic root of 4019120952 is about 1589.9264172268.

The spelling of 4019120952 in words is "four billion, nineteen million, one hundred twenty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 83 84 88 132 154 166 168 231 249 264 308 332 462 498 581 616 664 913 924 996 1162 1743 1826 1848 1992 2324 2739 3486 3652 4648 5478 6391 6972 7304 10956 12782 13944 19173 21912 25564 26203 38346 51128 52406 76692 78609 104812 153384 157218 183421 209624 288233 314436 366842 550263 576466 628872 733684 864699 1100526 1152932 1467368 1729398 2017631 2174849 2201052 2305864 3458796 4035262 4349698 4402104 6052893 6524547 6917592 8070524 8699396 12105786 13049094 15223943 16141048 17398792 23923339 24211572 26098188 30447886 45671829 47846678 48423144 52196376 60895772 71770017 91343658 95693356 121791544 143540034 167463373 182687316 191386712 287080068 334926746 365374632 502390119 574160136 669853492 1004780238 1339706984 2009560476 4019120952