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4045272816 = 24313431071409
BaseRepresentation
bin1111000100011101…
…1111011011110000
3101102220220011002010
43301013133123300
531241042212231
61505224122520
7202150152204
oct36107373360
911386804063
104045272816
1117964a6382
1294a906440
134c6113270
142a537ab04
1518a219546
hexf11df6f0

4045272816 has 160 divisors (see below), whose sum is σ = 11631755520. Its totient is φ = 1203535872.

The previous prime is 4045272793. The next prime is 4045272839. The reversal of 4045272816 is 6182725404.

It is an interprime number because it is at equal distance from previous prime (4045272793) and next prime (4045272839).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2870320 + ... + 2871728.

It is an arithmetic number, because the mean of its divisors is an integer number (72698472).

Almost surely, 24045272816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4045272816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815877760).

4045272816 is an abundant number, since it is smaller than the sum of its proper divisors (7586482704).

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

4045272816 is a wasteful number, since it uses less digits than its factorization.

4045272816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 4045272816 is about 63602.4591977386. The cubic root of 4045272816 is about 1593.3674416388.

The spelling of 4045272816 in words is "four billion, forty-five million, two hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 107 129 156 172 208 214 258 312 321 344 428 516 559 624 642 688 856 1032 1118 1284 1391 1409 1677 1712 2064 2236 2568 2782 2818 3354 4173 4227 4472 4601 5136 5564 5636 6708 8346 8454 8944 9202 11128 11272 13416 13803 16692 16908 18317 18404 22256 22544 26832 27606 33384 33816 36634 36808 54951 55212 59813 60587 66768 67632 73268 73616 109902 110424 119626 121174 146536 150763 179439 181761 219804 220848 239252 242348 293072 301526 358878 363522 439608 452289 478504 484696 603052 717756 727044 787631 879216 904578 957008 969392 1206104 1435512 1454088 1575262 1809156 1959919 2362893 2412208 2871024 2908176 3150524 3618312 3919838 4725786 5879757 6301048 6482809 7236624 7839676 9451572 11759514 12602096 12965618 15679352 18903144 19448427 23519028 25931236 31358704 37806288 38896854 47038056 51862472 77793708 84276517 94076112 103724944 155587416 168553034 252829551 311174832 337106068 505659102 674212136 1011318204 1348424272 2022636408 4045272816