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4239991520 = 25531531272
BaseRepresentation
bin1111110010111001…
…0010001011100000
3101221111021212220222
43330232102023200
532140414212040
61540421422212
7210033222212
oct37456221340
911844255828
104239991520
111886401426
129a3b6a968
1352756b72b
142c31865b2
1519c37dbb5
hexfcb922e0

4239991520 has 144 divisors (see below), whose sum is σ = 10618812288. Its totient is φ = 1597639680.

The previous prime is 4239991499. The next prime is 4239991529. The reversal of 4239991520 is 251999324.

It is a happy number.

4239991520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4239991529) 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, 33385697 + ... + 33385823.

It is an arithmetic number, because the mean of its divisors is an integer number (73741752).

Almost surely, 24239991520 is an apocalyptic number.

4239991520 is a gapful number since it is divisible by the number (40) 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 4239991520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309406144).

4239991520 is an abundant number, since it is smaller than the sum of its proper divisors (6378820768).

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

4239991520 is a wasteful number, since it uses less digits than its factorization.

4239991520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 4239991520 is about 65115.2172690839. The cubic root of 4239991520 is about 1618.5333878896.

The spelling of 4239991520 in words is "four billion, two hundred thirty-nine million, nine hundred ninety-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 53 62 80 106 124 127 155 160 212 248 254 265 310 424 496 508 530 620 635 848 992 1016 1060 1240 1270 1643 1696 2032 2120 2480 2540 3286 3937 4064 4240 4960 5080 6572 6731 7874 8215 8480 10160 13144 13462 15748 16129 16430 19685 20320 26288 26924 31496 32258 32860 33655 39370 52576 53848 62992 64516 65720 67310 78740 80645 107696 125984 129032 131440 134620 157480 161290 208661 215392 258064 262880 269240 314960 322580 417322 499999 516128 538480 629920 645160 834644 854837 999998 1043305 1076960 1290320 1669288 1709674 1999996 2086610 2499995 2580640 3338576 3419348 3999992 4173220 4274185 4999990 6677152 6838696 7999984 8346440 8548370 9999980 13677392 15999968 16692880 17096740 19999960 26499947 27354784 33385760 34193480 39999920 52999894 68386960 79999840 105999788 132499735 136773920 211999576 264999470 423999152 529998940 847998304 1059997880 2119995760 4239991520