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40948680 = 23351033313
BaseRepresentation
bin1001110000110…
…1001111001000
32212001102000210
42130031033020
540440324210
64021401120
71005025623
oct234151710
985042023
1040948680
1121129393
12118691a0
1386395b6
14561cdba
1538dce20
hex270d3c8

40948680 has 64 divisors (see below), whose sum is σ = 124076160. Its totient is φ = 10810368.

The previous prime is 40948673. The next prime is 40948711. The reversal of 40948680 is 8684904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10704 + ... + 14016.

It is an arithmetic number, because the mean of its divisors is an integer number (1938690).

Almost surely, 240948680 is an apocalyptic number.

40948680 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 40948680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62038080).

40948680 is an abundant number, since it is smaller than the sum of its proper divisors (83127480).

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

40948680 is a wasteful number, since it uses less digits than its factorization.

40948680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 40948680 is about 6399.1155638885. The cubic root of 40948680 is about 344.6777920096.

The spelling of 40948680 in words is "forty million, nine hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 3313 4120 6180 6626 9939 12360 13252 16565 19878 26504 33130 39756 49695 66260 79512 99390 132520 198780 341239 397560 682478 1023717 1364956 1706195 2047434 2729912 3412390 4094868 5118585 6824780 8189736 10237170 13649560 20474340 40948680