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88269948 = 223213474013
BaseRepresentation
bin1010100001011…
…10010001111100
320011002120121100
411100232101330
5140044114243
612431533100
72121165534
oct520562174
9204076540
1088269948
114590a578
122568a190
1315397650
14ba1a4c4
157b390d3
hex542e47c

88269948 has 72 divisors (see below), whose sum is σ = 245464128. Its totient is φ = 26575488.

The previous prime is 88269947. The next prime is 88269949. The reversal of 88269948 is 84996288.

It is an interprime number because it is at equal distance from previous prime (88269947) and next prime (88269949).

It is a junction number, because it is equal to n+sod(n) for n = 88269894 and 88269903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88269941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19990 + ... + 24002.

It is an arithmetic number, because the mean of its divisors is an integer number (3409224).

Almost surely, 288269948 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 88269948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122732064).

88269948 is an abundant number, since it is smaller than the sum of its proper divisors (157194180).

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

88269948 is a wasteful number, since it uses less digits than its factorization.

88269948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4078 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 88269948 is about 9395.2087789469. The cubic root of 88269948 is about 445.2503712474.

The spelling of 88269948 in words is "eighty-eight million, two hundred sixty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2444 3666 4013 5499 7332 8026 10998 12039 16052 21996 24078 36117 48156 52169 72234 104338 144468 156507 188611 208676 313014 377222 469521 565833 626028 754444 939042 1131666 1697499 1878084 2263332 2451943 3394998 4903886 6789996 7355829 9807772 14711658 22067487 29423316 44134974 88269948