Search a number
-
+
49616460 = 22325373739
BaseRepresentation
bin1011110101000…
…1011001001100
310110100202222200
42331101121030
5100200211320
64531241500
71141506255
oct275213114
9113322880
1049616460
1126009643
1214749290
13a38296a
146837b2c
154551290
hex2f5164c

49616460 has 72 divisors (see below), whose sum is σ = 151110960. Its totient is φ = 13177728.

The previous prime is 49616449. The next prime is 49616507. The reversal of 49616460 is 6461694.

49616460 is a `hidden beast` number, since 4 + 9 + 6 + 1 + 646 + 0 = 666.

49616460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66771 + ... + 67509.

Almost surely, 249616460 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 49616460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75555480).

49616460 is an abundant number, since it is smaller than the sum of its proper divisors (101494500).

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

49616460 is a wasteful number, since it uses less digits than its factorization.

49616460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49616460 is about 7043.8952292038. The cubic root of 49616460 is about 367.4587486670.

The spelling of 49616460 in words is "forty-nine million, six hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 373 739 746 1119 1478 1492 1865 2217 2238 2956 3357 3695 3730 4434 4476 5595 6651 6714 7390 7460 8868 11085 11190 13302 13428 14780 16785 22170 22380 26604 33255 33570 44340 66510 67140 133020 275647 551294 826941 1102588 1378235 1653882 2480823 2756470 3307764 4134705 4961646 5512940 8269410 9923292 12404115 16538820 24808230 49616460