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46954440 = 233251379127
BaseRepresentation
bin1011001100011…
…1011111001000
310021100112101100
42303013133020
544010020230
64354221400
71110051261
oct263073710
9107315340
1046954440
1124560625
1213884860
1399600c0
146343968
1541c7660
hex2cc77c8

46954440 has 192 divisors, whose sum is σ = 167731200. Its totient is φ = 11321856.

The previous prime is 46954423. The next prime is 46954441. The reversal of 46954440 is 4445964.

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 = 46954395 and 46954404.

It is not an unprimeable number, because it can be changed into a prime (46954441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369657 + ... + 369783.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 246954440 is an apocalyptic number.

46954440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46954440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

46954440 is an abundant number, since it is smaller than the sum of its proper divisors (120776760).

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

46954440 is a wasteful number, since it uses less digits than its factorization.

46954440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 46954440 is about 6852.3309902543. The cubic root of 46954440 is about 360.7659617219.

The spelling of 46954440 in words is "forty-six million, nine hundred fifty-four thousand, four hundred forty".