Search a number
-
+
1642763148 = 2231323721893
BaseRepresentation
bin110000111101010…
…1001001110001100
311020111011000101120
41201322221032030
511331021410043
6431002040540
755465153635
oct14172511614
94214130346
101642763148
1177332a2a4
1239a1a9150
13202459200
1411826688c
1599349983
hex61ea938c

1642763148 has 72 divisors (see below), whose sum is σ = 4263024528. Its totient is φ = 491781888.

The previous prime is 1642763147. The next prime is 1642763153. The reversal of 1642763148 is 8413672461.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1642763147) 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, 64090 + ... + 85982.

It is an arithmetic number, because the mean of its divisors is an integer number (59208674).

Almost surely, 21642763148 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 1642763148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131512264).

1642763148 is an abundant number, since it is smaller than the sum of its proper divisors (2620261380).

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

1642763148 is a wasteful number, since it uses less digits than its factorization.

1642763148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21963 (or 21948 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 1642763148 is about 40531.0146431100. The cubic root of 1642763148 is about 1179.9356347157.

The spelling of 1642763148 in words is "one billion, six hundred forty-two million, seven hundred sixty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 169 222 338 444 481 507 676 962 1014 1443 1924 2028 2886 5772 6253 12506 18759 21893 25012 37518 43786 65679 75036 87572 131358 262716 284609 569218 810041 853827 1138436 1620082 1707654 2430123 3240164 3415308 3699917 4860246 7399834 9720492 10530533 11099751 14799668 21061066 22199502 31591599 42122132 44399004 63183198 126366396 136896929 273793858 410690787 547587716 821381574 1642763148