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42226848 = 2532151971
BaseRepresentation
bin1010000100010…
…1010010100000
32221110100100100
42201011102200
541302224343
64105022400
71021631226
oct241052240
987410310
1042226848
1121921724
1212184a00
138996301
145872b16
153a919d3
hex28454a0

42226848 has 72 divisors (see below), whose sum is σ = 121002336. Its totient is φ = 13968000.

The previous prime is 42226829. The next prime is 42226883. The reversal of 42226848 is 84862224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43003 + ... + 43973.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 242226848 is an apocalyptic number.

42226848 is a gapful number since it is divisible by the number (48) 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 42226848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60501168).

42226848 is an abundant number, since it is smaller than the sum of its proper divisors (78775488).

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

42226848 is a wasteful number, since it uses less digits than its factorization.

42226848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1127 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42226848 is about 6498.2188328803. The cubic root of 42226848 is about 348.2273583641.

The spelling of 42226848 in words is "forty-two million, two hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 971 1208 1359 1812 1942 2416 2718 2913 3624 3884 4832 5436 5826 7248 7768 8739 10872 11652 14496 15536 17478 21744 23304 31072 34956 43488 46608 69912 93216 139824 146621 279648 293242 439863 586484 879726 1172968 1319589 1759452 2345936 2639178 3518904 4691872 5278356 7037808 10556712 14075616 21113424 42226848