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46980096 = 210341373
BaseRepresentation
bin1011001100110…
…1110000000000
310021101211120120
42303031300000
544011330341
64354540240
71110216132
oct263156000
9107354516
1046980096
1124578929
1213897680
13996b997
14634d052
1541d0066
hex2ccdc00

46980096 has 88 divisors (see below), whose sum is σ = 128617104. Its totient is φ = 15237120.

The previous prime is 46980091. The next prime is 46980113. The reversal of 46980096 is 69008964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46980091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125766 + ... + 126138.

It is an arithmetic number, because the mean of its divisors is an integer number (1461558).

Almost surely, 246980096 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 46980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64308552).

46980096 is an abundant number, since it is smaller than the sum of its proper divisors (81637008).

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

46980096 is a wasteful number, since it uses less digits than its factorization.

46980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 46980096 is about 6854.2027982837. The cubic root of 46980096 is about 360.8316575058.

The spelling of 46980096 in words is "forty-six million, nine hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 373 384 492 512 656 746 768 984 1024 1119 1312 1492 1536 1968 2238 2624 2984 3072 3936 4476 5248 5968 7872 8952 10496 11936 15293 15744 17904 20992 23872 30586 31488 35808 41984 45879 47744 61172 62976 71616 91758 95488 122344 125952 143232 183516 190976 244688 286464 367032 381952 489376 572928 734064 978752 1145856 1468128 1957504 2936256 3915008 5872512 7830016 11745024 15660032 23490048 46980096