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5254036416 = 263225136341
BaseRepresentation
bin1001110010010101…
…00011101111000000
3111120011101201000100
410321022203233000
541230013131131
62225204122400
7244125400266
oct47112435700
914504351010
105254036416
112256848362
121027696400
136596855b5
1437bb0c436
1520b3d67e6
hex1392a3bc0

5254036416 has 84 divisors (see below), whose sum is σ = 15120161784. Its totient is φ = 1744320000.

The previous prime is 5254036409. The next prime is 5254036433. The reversal of 5254036416 is 6146304525.

5254036416 is a `hidden beast` number, since 5 + 2 + 5 + 4 + 0 + 3 + 641 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126406 + ... + 162746.

It is an arithmetic number, because the mean of its divisors is an integer number (180001926).

Almost surely, 25254036416 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 5254036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560080892).

5254036416 is an abundant number, since it is smaller than the sum of its proper divisors (9866125368).

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

5254036416 is a wasteful number, since it uses less digits than its factorization.

5254036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36610 (or 36597 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5254036416 is about 72484.7322958428. The cubic root of 5254036416 is about 1738.4586270563.

The spelling of 5254036416 in words is "five billion, two hundred fifty-four million, thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 251 288 502 576 753 1004 1506 2008 2259 3012 4016 4518 6024 8032 9036 12048 16064 18072 24096 36144 36341 48192 72288 72682 109023 144576 145364 218046 290728 327069 436092 581456 654138 872184 1162912 1308276 1744368 2325824 2616552 3488736 5233104 6977472 9121591 10466208 18243182 20932416 27364773 36486364 54729546 72972728 82094319 109459092 145945456 164188638 218918184 291890912 328377276 437836368 583781824 656754552 875672736 1313509104 1751345472 2627018208 5254036416