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29941248 = 293101193
BaseRepresentation
bin111001000110…
…1111000000000
32002100011200010
41302031320000
530131104443
62545424520
7512332161
oct162157000
962304603
1029941248
11159a0337
12a03b140
13628431c
143d95768
152966733
hex1c8de00

29941248 has 80 divisors (see below), whose sum is σ = 80972496. Its totient is φ = 9830400.

The previous prime is 29941243. The next prime is 29941259. The reversal of 29941248 is 84214992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29941243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155040 + ... + 155232.

Almost surely, 229941248 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 29941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40486248).

29941248 is an abundant number, since it is smaller than the sum of its proper divisors (51031248).

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

29941248 is a wasteful number, since it uses less digits than its factorization.

29941248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 29941248 is about 5471.8596473228. The cubic root of 29941248 is about 310.5202778991.

The spelling of 29941248 in words is "twenty-nine million, nine hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 193 202 256 303 384 386 404 512 579 606 768 772 808 1158 1212 1536 1544 1616 2316 2424 3088 3232 4632 4848 6176 6464 9264 9696 12352 12928 18528 19392 19493 24704 25856 37056 38784 38986 49408 51712 58479 74112 77568 77972 98816 116958 148224 155136 155944 233916 296448 311888 467832 623776 935664 1247552 1871328 2495104 3742656 4990208 7485312 9980416 14970624 29941248