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46974240 = 2532532621
BaseRepresentation
bin1011001100110…
…0010100100000
310021101112112200
42303030110200
544011133430
64354453200
71110163065
oct263142440
9107345480
1046974240
1124574495
1213894200
139969111
14634ac6c
1541cd460
hex2ccc520

46974240 has 72 divisors (see below), whose sum is σ = 160304508. Its totient is φ = 12526080.

The previous prime is 46974199. The next prime is 46974241. The reversal of 46974240 is 4247964.

It can be written as a sum of positive squares in 2 ways, for example, as 46949904 + 24336 = 6852^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 46974195 and 46974204.

It is not an unprimeable number, because it can be changed into a prime (46974241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14871 + ... + 17750.

Almost surely, 246974240 is an apocalyptic number.

46974240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46974240 is an abundant number, since it is smaller than the sum of its proper divisors (113330268).

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

46974240 is a wasteful number, since it uses less digits than its factorization.

46974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32642 (or 32631 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 46974240 is about 6853.7756018125. The cubic root of 46974240 is about 360.8166645040.

The spelling of 46974240 in words is "forty-six million, nine hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 32621 65242 97863 130484 163105 195726 260968 293589 326210 391452 489315 521936 587178 652420 782904 978630 1043872 1174356 1304840 1467945 1565808 1957260 2348712 2609680 2935890 3131616 3914520 4697424 5219360 5871780 7829040 9394848 11743560 15658080 23487120 46974240