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29677152 = 253309137
BaseRepresentation
bin111000100110…
…1011001100000
32001211202101210
41301031121200
530044132102
62540030120
7510152211
oct161153140
961752353
1029677152
111582a97a
129b32340
1361c105b
143d27408
15291336c
hex1c4d660

29677152 has 24 divisors (see below), whose sum is σ = 77902776. Its totient is φ = 9892352.

The previous prime is 29677147. The next prime is 29677157. The reversal of 29677152 is 25177692.

It is an interprime number because it is at equal distance from previous prime (29677147) and next prime (29677157).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×296771522 = 1761466701662208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29677152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29677157) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 154473 + ... + 154664.

It is an arithmetic number, because the mean of its divisors is an integer number (3245949).

Almost surely, 229677152 is an apocalyptic number.

It is an amenable number.

29677152 is an abundant number, since it is smaller than the sum of its proper divisors (48225624).

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

29677152 is a wasteful number, since it uses less digits than its factorization.

29677152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309150 (or 309142 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 29677152 is about 5447.6739990568. The cubic root of 29677152 is about 309.6046016850.

The spelling of 29677152 in words is "twenty-nine million, six hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 309137 618274 927411 1236548 1854822 2473096 3709644 4946192 7419288 9892384 14838576 29677152