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88047904 = 2572233241
BaseRepresentation
bin1010011111110…
…00000100100000
320010200022000111
411033320010200
5140020013104
612423101104
72116252300
oct517700440
9203608014
1088047904
114577876a
12255a1794
131531a569
14b99d600
157ae3404
hex53f8120

88047904 has 72 divisors (see below), whose sum is σ = 203351148. Its totient is φ = 37416960.

The previous prime is 88047899. The next prime is 88047923. The reversal of 88047904 is 40974088.

It can be written as a sum of positive squares in 2 ways, for example, as 87984400 + 63504 = 9380^2 + 252^2 .

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 11 ways as a sum of consecutive naturals, for example, 365224 + ... + 365464.

Almost surely, 288047904 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 88047904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101675574).

88047904 is an abundant number, since it is smaller than the sum of its proper divisors (115303244).

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

88047904 is a wasteful number, since it uses less digits than its factorization.

88047904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 88047904 is about 9383.3844640407. The cubic root of 88047904 is about 444.8767137323.

It can be divided in two parts, 880 and 47904, that added together give a palindrome (48784).

The spelling of 88047904 in words is "eighty-eight million, forty-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 233 241 392 466 482 784 932 964 1568 1631 1687 1864 1928 3262 3374 3728 3856 6524 6748 7456 7712 11417 11809 13048 13496 22834 23618 26096 26992 45668 47236 52192 53984 56153 91336 94472 112306 182672 188944 224612 365344 377888 393071 449224 786142 898448 1572284 1796896 2751497 3144568 5502994 6289136 11005988 12578272 22011976 44023952 88047904