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46157940 = 22325347739
BaseRepresentation
bin1011000000010…
…1000001110100
310012212001210100
42300011001310
543304023230
64325154100
71100223153
oct260050164
9105761710
1046157940
1124067164
121355b930
1397416ba
1461b759a
1540bb660
hex2c05074

46157940 has 72 divisors (see below), whose sum is σ = 140605920. Its totient is φ = 12256704.

The previous prime is 46157933. The next prime is 46157959. The reversal of 46157940 is 4975164.

46157940 is a `hidden beast` number, since 46 + 1 + 579 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46157895 and 46157904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62091 + ... + 62829.

It is an arithmetic number, because the mean of its divisors is an integer number (1952860).

Almost surely, 246157940 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 46157940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70302960).

46157940 is an abundant number, since it is smaller than the sum of its proper divisors (94447980).

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

46157940 is a wasteful number, since it uses less digits than its factorization.

46157940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 46157940 is about 6793.9634971054. The cubic root of 46157940 is about 358.7143958968.

The spelling of 46157940 in words is "forty-six million, one hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 347 694 739 1041 1388 1478 1735 2082 2217 2956 3123 3470 3695 4164 4434 5205 6246 6651 6940 7390 8868 10410 11085 12492 13302 14780 15615 20820 22170 26604 31230 33255 44340 62460 66510 133020 256433 512866 769299 1025732 1282165 1538598 2307897 2564330 3077196 3846495 4615794 5128660 7692990 9231588 11539485 15385980 23078970 46157940