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45424104 = 23311732357
BaseRepresentation
bin1010110101000…
…1110111101000
310011110210011020
42231101313220
543112032404
64301332440
71061045535
oct255216750
9104423136
1045424104
1123705890
1213267120
13954568b
146065d8c
153ec3ed9
hex2b51de8

45424104 has 64 divisors (see below), whose sum is σ = 125634240. Its totient is φ = 13570560.

The previous prime is 45424081. The next prime is 45424111. The reversal of 45424104 is 40142454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18094 + ... + 20450.

It is an arithmetic number, because the mean of its divisors is an integer number (1963035).

Almost surely, 245424104 is an apocalyptic number.

45424104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45424104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62817120).

45424104 is an abundant number, since it is smaller than the sum of its proper divisors (80210136).

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

45424104 is a wasteful number, since it uses less digits than its factorization.

45424104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 45424104 is about 6739.7406478291. The cubic root of 45424104 is about 356.8032403669.

Adding to 45424104 its reverse (40142454), we get a palindrome (85566558).

It can be divided in two parts, 4542 and 4104, that added together give a triangular number (8646 = T131).

The spelling of 45424104 in words is "forty-five million, four hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2357 2409 3212 4714 4818 6424 7071 9428 9636 14142 18856 19272 25927 28284 51854 56568 77781 103708 155562 172061 207416 311124 344122 516183 622248 688244 1032366 1376488 1892671 2064732 3785342 4129464 5678013 7570684 11356026 15141368 22712052 45424104