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146947944 = 233111347911
BaseRepresentation
bin10001100001000…
…11111101101000
3101020111201200110
420300203331220
5300104313234
622325334320
73433015443
oct1060437550
9336451613
10146947944
1175a48190
12412673a0
13245a0960
141573265a
15cd7a1e9
hex8c23f68

146947944 has 128 divisors (see below), whose sum is σ = 441262080. Its totient is φ = 40185600.

The previous prime is 146947939. The next prime is 146947987. The reversal of 146947944 is 449749641.

It is a junction number, because it is equal to n+sod(n) for n = 146947893 and 146947902.

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 31 ways as a sum of consecutive naturals, for example, 160849 + ... + 161759.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2146947944 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 146947944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

146947944 is an abundant number, since it is smaller than the sum of its proper divisors (294314136).

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

146947944 is a wasteful number, since it uses less digits than its factorization.

146947944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 987 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 146947944 is about 12122.2087096370. The cubic root of 146947944 is about 527.7009038353.

The spelling of 146947944 in words is "one hundred forty-six million, nine hundred forty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 47 52 66 78 88 94 104 132 141 143 156 188 264 282 286 312 376 429 517 564 572 611 858 911 1034 1128 1144 1222 1551 1716 1822 1833 2068 2444 2733 3102 3432 3644 3666 4136 4888 5466 6204 6721 7288 7332 10021 10932 11843 12408 13442 14664 20042 20163 21864 23686 26884 30063 35529 40084 40326 42817 47372 53768 60126 71058 80168 80652 85634 94744 120252 128451 130273 142116 161304 171268 240504 256902 260546 284232 342536 390819 470987 513804 521092 556621 781638 941974 1027608 1042184 1113242 1412961 1563276 1669863 1883948 2226484 2825922 3126552 3339726 3767896 4452968 5651844 6122831 6679452 11303688 12245662 13358904 18368493 24491324 36736986 48982648 73473972 146947944