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5220153936 = 24321910331847
BaseRepresentation
bin1001101110010010…
…10011101001010000
3111110210122021222200
410313021103221100
541142324411221
62221554003200
7243234401454
oct46711235120
914423567880
105220153936
112239705a08
121018276500
136526513aa
1437740c664
15208442426
hex137253a50

5220153936 has 120 divisors (see below), whose sum is σ = 15401305920. Its totient is φ = 1645982208.

The previous prime is 5220153929. The next prime is 5220153937. The reversal of 5220153936 is 6393510225.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5220153936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5220153937) 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, 2825365 + ... + 2827211.

It is an arithmetic number, because the mean of its divisors is an integer number (128344216).

Almost surely, 25220153936 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 5220153936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700652960).

5220153936 is an abundant number, since it is smaller than the sum of its proper divisors (10181151984).

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

5220153936 is a wasteful number, since it uses less digits than its factorization.

5220153936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5220153936 is about 72250.6327723156. The cubic root of 5220153936 is about 1734.7135467642.

The spelling of 5220153936 in words is "five billion, two hundred twenty million, one hundred fifty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1033 1368 1847 2066 2736 3099 3694 4132 5541 6198 7388 8264 9297 11082 12396 14776 16528 16623 18594 19627 22164 24792 29552 33246 35093 37188 39254 44328 49584 58881 66492 70186 74376 78508 88656 105279 117762 132984 140372 148752 157016 176643 210558 235524 265968 280744 314032 315837 353286 421116 471048 561488 631674 706572 842232 942096 1263348 1413144 1684464 1907951 2526696 2826288 3815902 5053392 5723853 7631804 11447706 15263608 17171559 22895412 30527216 34343118 36251069 45790824 68686236 72502138 91581648 108753207 137372472 145004276 217506414 274744944 290008552 326259621 435012828 580017104 652519242 870025656 1305038484 1740051312 2610076968 5220153936