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46992096 = 2533137397
BaseRepresentation
bin1011001101000…
…0101011100000
310021102110001000
42303100223200
544012221341
64355112000
71110266124
oct263205340
9107373030
1046992096
1124586948
12138a2600
139974298
146353584
1541d38b6
hex2cd0ae0

46992096 has 96 divisors (see below), whose sum is σ = 138408480. Its totient is φ = 15510528.

The previous prime is 46992083. The next prime is 46992103. The reversal of 46992096 is 69029964.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118170 + ... + 118566.

It is an arithmetic number, because the mean of its divisors is an integer number (1441755).

Almost surely, 246992096 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 46992096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69204240).

46992096 is an abundant number, since it is smaller than the sum of its proper divisors (91416384).

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

46992096 is a wasteful number, since it uses less digits than its factorization.

46992096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 46992096 is about 6855.0781177168. The cubic root of 46992096 is about 360.8623769781.

The spelling of 46992096 in words is "forty-six million, nine hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 137 144 216 274 288 397 411 432 548 794 822 864 1096 1191 1233 1588 1644 2192 2382 2466 3176 3288 3573 3699 4384 4764 4932 6352 6576 7146 7398 9528 9864 10719 12704 13152 14292 14796 19056 19728 21438 28584 29592 38112 39456 42876 54389 57168 59184 85752 108778 114336 118368 163167 171504 217556 326334 343008 435112 489501 652668 870224 979002 1305336 1468503 1740448 1958004 2610672 2937006 3916008 5221344 5874012 7832016 11748024 15664032 23496048 46992096