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6401148 = 22313371109
BaseRepresentation
bin11000011010110001111100
3110001012201120
4120122301330
53114314043
6345110540
7105260145
oct30326174
913035646
106401148
113682306
122188450
131431780
14bc8acc
15866983
hex61ac7c

6401148 has 48 divisors (see below), whose sum is σ = 16534560. Its totient is φ = 1914624.

The previous prime is 6401123. The next prime is 6401149. The reversal of 6401148 is 8411046.

6401148 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6401149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5218 + ... + 6326.

It is an arithmetic number, because the mean of its divisors is an integer number (344470).

Almost surely, 26401148 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 6401148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267280).

6401148 is an abundant number, since it is smaller than the sum of its proper divisors (10133412).

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

6401148 is a wasteful number, since it uses less digits than its factorization.

6401148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6401148 is about 2530.0490113830. The cubic root of 6401148 is about 185.6746538141.

The spelling of 6401148 in words is "six million, four hundred one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1109 1443 1924 2218 2886 3327 4436 5772 6654 13308 14417 28834 41033 43251 57668 82066 86502 123099 164132 173004 246198 492396 533429 1066858 1600287 2133716 3200574 6401148