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40023936 = 273337313
BaseRepresentation
bin1001100010101…
…1011110000000
32210022102112000
42120223132000
540221231221
63545504000
7664124601
oct230533600
983272460
1040023936
1120657637
12114a2000
1383a4704
14545bda8
1537a8e26
hex262b780

40023936 has 128 divisors (see below), whose sum is σ = 121706400. Its totient is φ = 12939264.

The previous prime is 40023917. The next prime is 40023941. The reversal of 40023936 is 63932004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127716 + ... + 128028.

Almost surely, 240023936 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 40023936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60853200).

40023936 is an abundant number, since it is smaller than the sum of its proper divisors (81682464).

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

40023936 is a wasteful number, since it uses less digits than its factorization.

40023936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 40023936 is about 6326.4473442842. The cubic root of 40023936 is about 342.0633923733.

It can be divided in two parts, 400 and 23936, that added together give a square (24336 = 1562).

The spelling of 40023936 in words is "forty million, twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 313 333 384 432 444 576 592 626 666 864 888 939 999 1152 1184 1252 1332 1728 1776 1878 1998 2368 2504 2664 2817 3456 3552 3756 3996 4736 5008 5328 5634 7104 7512 7992 8451 10016 10656 11268 11581 14208 15024 15984 16902 20032 21312 22536 23162 30048 31968 33804 34743 40064 42624 45072 46324 60096 63936 67608 69486 90144 92648 104229 120192 127872 135216 138972 180288 185296 208458 270432 277944 312687 360576 370592 416916 540864 555888 625374 741184 833832 1081728 1111776 1250748 1482368 1667664 2223552 2501496 3335328 4447104 5002992 6670656 10005984 13341312 20011968 40023936