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8049406002 = 23112312834133
BaseRepresentation
bin1110111111100100…
…00011000000110010
3202202222101012012020
413133302003000302
5112441121443002
63410422412310
7403320551661
oct73762030062
922688335166
108049406002
113460752960
121687891096
139b3851041
14565088dd8
15321a092bc
hex1dfc83032

8049406002 has 64 divisors (see below), whose sum is σ = 18344641536. Its totient is φ = 2330778560.

The previous prime is 8049405983. The next prime is 8049406009. The reversal of 8049406002 is 2006049408.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8049406009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1945528 + ... + 1949660.

It is an arithmetic number, because the mean of its divisors is an integer number (286635024).

Almost surely, 28049406002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8049406002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172320768).

8049406002 is an abundant number, since it is smaller than the sum of its proper divisors (10295235534).

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

8049406002 is a wasteful number, since it uses less digits than its factorization.

8049406002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8049406002 is about 89718.4819421283. The cubic root of 8049406002 is about 2004.1087202621.

The spelling of 8049406002 in words is "eight billion, forty-nine million, four hundred six thousand, two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1283 1518 2566 3849 4133 7698 8266 12399 14113 24798 28226 29509 42339 45463 59018 84678 88527 90926 95059 136389 177054 190118 272778 285177 324599 570354 649198 973797 1045649 1947594 2091298 3136947 5302639 6273894 10605278 15907917 31815834 58329029 116658058 121960697 174987087 243921394 349974174 365882091 731764182 1341567667 2683135334 4024703001 8049406002