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146749416 = 233114711827
BaseRepresentation
bin10001011111100…
…11011111101000
3101020010122100120
420233303133220
5300031440131
622321203240
73431230602
oct1057633750
9336118316
10146749416
1175922010
1241190520
1324531498
14156c0172
15cd3b496
hex8bf37e8

146749416 has 64 divisors (see below), whose sum is σ = 408775680. Its totient is φ = 43519680.

The previous prime is 146749397. The next prime is 146749429. The reversal of 146749416 is 614947641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6495 + ... + 18321.

It is an arithmetic number, because the mean of its divisors is an integer number (6387120).

Almost surely, 2146749416 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 146749416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204387840).

146749416 is an abundant number, since it is smaller than the sum of its proper divisors (262026264).

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

146749416 is a wasteful number, since it uses less digits than its factorization.

146749416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894 (or 11890 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 146749416 is about 12114.0173353021. The cubic root of 146749416 is about 527.4631538394.

It can be divided in two parts, 14674 and 9416, that added together give a triangular number (24090 = T219).

The spelling of 146749416 in words is "one hundred forty-six million, seven hundred forty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 11827 12408 23654 35481 47308 70962 94616 130097 141924 260194 283848 390291 520388 555869 780582 1040776 1111738 1561164 1667607 2223476 3122328 3335214 4446952 6114559 6670428 12229118 13340856 18343677 24458236 36687354 48916472 73374708 146749416