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40001148 = 22331123061
BaseRepresentation
bin1001100010010…
…1111001111100
32210021021021000
42120211321330
540220014043
63545210300
7664001265
oct230457174
983237230
1040001148
1120641500
1211490990
138397225
14545396c
1537a22d3
hex2625e7c

40001148 has 72 divisors (see below), whose sum is σ = 114028880. Its totient is φ = 12117600.

The previous prime is 40001111. The next prime is 40001161. The reversal of 40001148 is 84110004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 40001148.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11538 + ... + 14598.

Almost surely, 240001148 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 40001148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57014440).

40001148 is an abundant number, since it is smaller than the sum of its proper divisors (74027732).

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

40001148 is a wasteful number, since it uses less digits than its factorization.

40001148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 40001148 is about 6324.6460770544. The cubic root of 40001148 is about 341.9984610580.

The spelling of 40001148 in words is "forty million, one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3061 3267 4356 6122 6534 9183 12244 13068 18366 27549 33671 36732 55098 67342 82647 101013 110196 134684 165294 202026 303039 330588 370381 404052 606078 740762 909117 1111143 1212156 1481524 1818234 2222286 3333429 3636468 4444572 6666858 10000287 13333716 20000574 40001148