Search a number
-
+
47979405 = 3351312713
BaseRepresentation
bin1011011100000…
…1101110001101
310100021121101000
42313001232031
544240320110
64432210513
71121550435
oct267015615
9110247330
1047979405
11250a0701
1214099a39
139c2b7a6
14652d2c5
15432b1c0
hex2dc1b8d

47979405 has 32 divisors (see below), whose sum is σ = 85979520. Its totient is φ = 25384320.

The previous prime is 47979377. The next prime is 47979409. The reversal of 47979405 is 50497974.

It is not a de Polignac number, because 47979405 - 213 = 47971213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47979409) 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, 16329 + ... + 19041.

It is an arithmetic number, because the mean of its divisors is an integer number (2686860).

Almost surely, 247979405 is an apocalyptic number.

47979405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47979405 is a deficient number, since it is larger than the sum of its proper divisors (38000115).

47979405 is a wasteful number, since it uses less digits than its factorization.

47979405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 47979405 is about 6926.7167547114. The cubic root of 47979405 is about 363.3721339105.

Subtracting 47979405 from its reverse (50497974), we obtain a square (2518569 = 15872).

It can be divided in two parts, 47979 and 405, that added together give a palindrome (48384).

The spelling of 47979405 in words is "forty-seven million, nine hundred seventy-nine thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 131 135 393 655 1179 1965 2713 3537 5895 8139 13565 17685 24417 40695 73251 122085 355403 366255 1066209 1777015 3198627 5331045 9595881 15993135 47979405