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41342976 = 211322243
BaseRepresentation
bin1001110110110…
…1100000000000
32212210102220100
42131231200000
541040433401
64034042400
71011260313
oct235554000
985712810
1041342976
1121378654
1211a19400
138746bcc
1456c297a
153969b86
hex276d800

41342976 has 72 divisors (see below), whose sum is σ = 119459340. Its totient is φ = 13774848.

The previous prime is 41342923. The next prime is 41342989. The reversal of 41342976 is 67924314.

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 self number, because there is not a number n which added to its sum of digits gives 41342976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17311 + ... + 19553.

Almost surely, 241342976 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 41342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59729670).

41342976 is an abundant number, since it is smaller than the sum of its proper divisors (78116364).

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

41342976 is a wasteful number, since it uses less digits than its factorization.

41342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2248 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 41342976 is about 6429.8503870619. The cubic root of 41342976 is about 345.7805640813.

The spelling of 41342976 in words is "forty-one million, three hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2243 2304 3072 4486 4608 6144 6729 8972 9216 13458 17944 18432 20187 26916 35888 40374 53832 71776 80748 107664 143552 161496 215328 287104 322992 430656 574208 645984 861312 1148416 1291968 1722624 2296832 2583936 3445248 4593664 5167872 6890496 10335744 13780992 20671488 41342976