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5088443840 = 26523966533
BaseRepresentation
bin1001011110100101…
…10111110111000000
3111010121210201200222
410233102313313000
540410120200330
62200531002212
7240045026144
oct45722676700
914117721628
105088443840
112181326197
12ba0139368
1363128741c
14363b25224
151ebac70e5
hex12f4b7dc0

5088443840 has 56 divisors (see below), whose sum is σ = 12167737920. Its totient is φ = 2026830848.

The previous prime is 5088443837. The next prime is 5088443851. The reversal of 5088443840 is 483448805.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5088443791 and 5088443800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43214 + ... + 109746.

Almost surely, 25088443840 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 5088443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083868960).

5088443840 is an abundant number, since it is smaller than the sum of its proper divisors (7079294080).

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

5088443840 is a wasteful number, since it uses less digits than its factorization.

5088443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66789 (or 66779 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 44.

The square root of 5088443840 is about 71333.3290965731. The cubic root of 5088443840 is about 1719.9995312780. Note that the first 3 decimals are identical.

The spelling of 5088443840 in words is "five billion, eighty-eight million, four hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 239 320 478 956 1195 1912 2390 3824 4780 7648 9560 15296 19120 38240 66533 76480 133066 266132 332665 532264 665330 1064528 1330660 2129056 2661320 4258112 5322640 10645280 15901387 21290560 31802774 63605548 79506935 127211096 159013870 254422192 318027740 508844384 636055480 1017688768 1272110960 2544221920 5088443840