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38948752 = 2423109971
BaseRepresentation
bin1001010010010…
…0111110010000
32201021210122101
42110210332100
534432330002
63510450144
7652026133
oct224447620
981253571
1038948752
111aa92857
1211063954
1380b91cb
14525c21a
153645587
hex2524f90

38948752 has 40 divisors (see below), whose sum is σ = 79548480. Its totient is φ = 18437760.

The previous prime is 38948747. The next prime is 38948761. The reversal of 38948752 is 25784983.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 7 ways as a sum of consecutive naturals, for example, 39627 + ... + 40597.

It is an arithmetic number, because the mean of its divisors is an integer number (1988712).

Almost surely, 238948752 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 38948752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39774240).

38948752 is an abundant number, since it is smaller than the sum of its proper divisors (40599728).

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

38948752 is a wasteful number, since it uses less digits than its factorization.

38948752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1105 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 38948752 is about 6240.8935257702. The cubic root of 38948752 is about 338.9725383323.

It can be divided in two parts, 389 and 48752, that added together give a triangular number (49141 = T313).

The spelling of 38948752 in words is "thirty-eight million, nine hundred forty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 92 109 184 218 368 436 872 971 1744 1942 2507 3884 5014 7768 10028 15536 20056 22333 40112 44666 89332 105839 178664 211678 357328 423356 846712 1693424 2434297 4868594 9737188 19474376 38948752